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Finding the Fourth Proportional to 106,570.60, 159,645.30 and 69,156.70

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Solution

The fourth proportional to 106,570.60, 159,645.30 and 69,156.70 is: 103,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,570.60 : 159,645.30 = 69,156.70 : x
  2. Step 2: Convert to fraction form
    106,570.60/159,645.30 = 69,156.70/x
  3. Step 3: Cross multiply
    106,570.60x = 159,645.30 × 69,156.70
  4. Step 4: Simplify right side
    106,570.60x = 11,040,542,118.51
  5. Step 5: Solve for x
    x = 11,040,542,118.51/106,570.60
  6. Step 6: Final answer
    x = 103,598.39

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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.