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Finding the Fourth Proportional to 252,006.40, 378,301.20 and 145,475.20

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Solution

The fourth proportional to 252,006.40, 378,301.20 and 145,475.20 is: 218,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,006.40 : 378,301.20 = 145,475.20 : x
  2. Step 2: Convert to fraction form
    252,006.40/378,301.20 = 145,475.20/x
  3. Step 3: Cross multiply
    252,006.40x = 378,301.20 × 145,475.20
  4. Step 4: Simplify right side
    252,006.40x = 55,033,442,730.24
  5. Step 5: Solve for x
    x = 55,033,442,730.24/252,006.40
  6. Step 6: Final answer
    x = 218,381.13

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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.