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Finding the Fourth Proportional to 223,045.29, 334,568.42 and 156,781.94

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Solution

The fourth proportional to 223,045.29, 334,568.42 and 156,781.94 is: 235,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,045.29 : 334,568.42 = 156,781.94 : x
  2. Step 2: Convert to fraction form
    223,045.29/334,568.42 = 156,781.94/x
  3. Step 3: Cross multiply
    223,045.29x = 334,568.42 × 156,781.94
  4. Step 4: Simplify right side
    223,045.29x = 52,454,283,493.58
  5. Step 5: Solve for x
    x = 52,454,283,493.58/223,045.29
  6. Step 6: Final answer
    x = 235,173.24

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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.