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Finding the Fourth Proportional to 252,098.01, 378,145.65 and 145,412.81

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Solution

The fourth proportional to 252,098.01, 378,145.65 and 145,412.81 is: 218,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,098.01 : 378,145.65 = 145,412.81 : x
  2. Step 2: Convert to fraction form
    252,098.01/378,145.65 = 145,412.81/x
  3. Step 3: Cross multiply
    252,098.01x = 378,145.65 × 145,412.81
  4. Step 4: Simplify right side
    252,098.01x = 54,987,221,555.78
  5. Step 5: Solve for x
    x = 54,987,221,555.78/252,098.01
  6. Step 6: Final answer
    x = 218,118.43

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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.