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Finding the Fourth Proportional to 160,068.38, 240,082.65 and 100,102.19

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Solution

The fourth proportional to 160,068.38, 240,082.65 and 100,102.19 is: 150,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,068.38 : 240,082.65 = 100,102.19 : x
  2. Step 2: Convert to fraction form
    160,068.38/240,082.65 = 100,102.19/x
  3. Step 3: Cross multiply
    160,068.38x = 240,082.65 × 100,102.19
  4. Step 4: Simplify right side
    160,068.38x = 24,032,797,845.59
  5. Step 5: Solve for x
    x = 24,032,797,845.59/160,068.38
  6. Step 6: Final answer
    x = 150,140.82

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