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Finding the Fourth Proportional to 119,306.98, 164,642.15 and 65,591.53

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Solution

The fourth proportional to 119,306.98, 164,642.15 and 65,591.53 is: 90,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,306.98 : 164,642.15 = 65,591.53 : x
  2. Step 2: Convert to fraction form
    119,306.98/164,642.15 = 65,591.53/x
  3. Step 3: Cross multiply
    119,306.98x = 164,642.15 × 65,591.53
  4. Step 4: Simplify right side
    119,306.98x = 10,799,130,273.36
  5. Step 5: Solve for x
    x = 10,799,130,273.36/119,306.98
  6. Step 6: Final answer
    x = 90,515.49

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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.