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Finding the Fourth Proportional to 252,398.34, 378,589.23 and 102,594.42

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Solution

The fourth proportional to 252,398.34, 378,589.23 and 102,594.42 is: 153,888.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,398.34 : 378,589.23 = 102,594.42 : x
  2. Step 2: Convert to fraction form
    252,398.34/378,589.23 = 102,594.42/x
  3. Step 3: Cross multiply
    252,398.34x = 378,589.23 × 102,594.42
  4. Step 4: Simplify right side
    252,398.34x = 38,841,142,470.10
  5. Step 5: Solve for x
    x = 38,841,142,470.10/252,398.34
  6. Step 6: Final answer
    x = 153,888.26

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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.