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Finding the Fourth Proportional to 106,499.57, 146,969.90 and 58,752.90

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Solution

The fourth proportional to 106,499.57, 146,969.90 and 58,752.90 is: 81,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,499.57 : 146,969.90 = 58,752.90 : x
  2. Step 2: Convert to fraction form
    106,499.57/146,969.90 = 58,752.90/x
  3. Step 3: Cross multiply
    106,499.57x = 146,969.90 × 58,752.90
  4. Step 4: Simplify right side
    106,499.57x = 8,634,907,543.95
  5. Step 5: Solve for x
    x = 8,634,907,543.95/106,499.57
  6. Step 6: Final answer
    x = 81,079.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.