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Finding the Fourth Proportional to 120,123.55, 165,770.44 and 72,386.13

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Solution

The fourth proportional to 120,123.55, 165,770.44 and 72,386.13 is: 99,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,123.55 : 165,770.44 = 72,386.13 : x
  2. Step 2: Convert to fraction form
    120,123.55/165,770.44 = 72,386.13/x
  3. Step 3: Cross multiply
    120,123.55x = 165,770.44 × 72,386.13
  4. Step 4: Simplify right side
    120,123.55x = 11,999,480,620.00
  5. Step 5: Solve for x
    x = 11,999,480,620.00/120,123.55
  6. Step 6: Final answer
    x = 99,892.82

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