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Finding the Fourth Proportional to 223,575.31, 334,802.13 and 133,562.49

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Solution

The fourth proportional to 223,575.31, 334,802.13 and 133,562.49 is: 200,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,575.31 : 334,802.13 = 133,562.49 : x
  2. Step 2: Convert to fraction form
    223,575.31/334,802.13 = 133,562.49/x
  3. Step 3: Cross multiply
    223,575.31x = 334,802.13 × 133,562.49
  4. Step 4: Simplify right side
    223,575.31x = 44,717,008,335.56
  5. Step 5: Solve for x
    x = 44,717,008,335.56/223,575.31
  6. Step 6: Final answer
    x = 200,008.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.