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Finding the Fourth Proportional to 106,375,843.20, 159,563,764.80 and 41,658,139.20

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Solution

The fourth proportional to 106,375,843.20, 159,563,764.80 and 41,658,139.20 is: 62,487,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,375,843.20 : 159,563,764.80 = 41,658,139.20 : x
  2. Step 2: Convert to fraction form
    106,375,843.20/159,563,764.80 = 41,658,139.20/x
  3. Step 3: Cross multiply
    106,375,843.20x = 159,563,764.80 × 41,658,139.20
  4. Step 4: Simplify right side
    106,375,843.20x = 6,647,129,525,314,461
  5. Step 5: Solve for x
    x = 6,647,129,525,314,461/106,375,843.20
  6. Step 6: Final answer
    x = 62,487,208.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.