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Finding the Fourth Proportional to 137,082.30, 205,544.30 and 42,287.03

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Solution

The fourth proportional to 137,082.30, 205,544.30 and 42,287.03 is: 63,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,082.30 : 205,544.30 = 42,287.03 : x
  2. Step 2: Convert to fraction form
    137,082.30/205,544.30 = 42,287.03/x
  3. Step 3: Cross multiply
    137,082.30x = 205,544.30 × 42,287.03
  4. Step 4: Simplify right side
    137,082.30x = 8,691,857,749.93
  5. Step 5: Solve for x
    x = 8,691,857,749.93/137,082.30
  6. Step 6: Final answer
    x = 63,406.13

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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.