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Finding the Fourth Proportional to 123,780.49, 185,640.87 and 57,156.58

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Solution

The fourth proportional to 123,780.49, 185,640.87 and 57,156.58 is: 85,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,780.49 : 185,640.87 = 57,156.58 : x
  2. Step 2: Convert to fraction form
    123,780.49/185,640.87 = 57,156.58/x
  3. Step 3: Cross multiply
    123,780.49x = 185,640.87 × 57,156.58
  4. Step 4: Simplify right side
    123,780.49x = 10,610,597,237.42
  5. Step 5: Solve for x
    x = 10,610,597,237.42/123,780.49
  6. Step 6: Final answer
    x = 85,721.08

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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.