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Finding the Fourth Proportional to 105,082.20, 145,013.04 and 57,335.13

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Solution

The fourth proportional to 105,082.20, 145,013.04 and 57,335.13 is: 79,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,082.20 : 145,013.04 = 57,335.13 : x
  2. Step 2: Convert to fraction form
    105,082.20/145,013.04 = 57,335.13/x
  3. Step 3: Cross multiply
    105,082.20x = 145,013.04 × 57,335.13
  4. Step 4: Simplify right side
    105,082.20x = 8,314,341,500.10
  5. Step 5: Solve for x
    x = 8,314,341,500.10/105,082.20
  6. Step 6: Final answer
    x = 79,122.26

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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.