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Finding the Fourth Proportional to 223,227.90, 334,841.85 and 156,743.10

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Solution

The fourth proportional to 223,227.90, 334,841.85 and 156,743.10 is: 235,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,227.90 : 334,841.85 = 156,743.10 : x
  2. Step 2: Convert to fraction form
    223,227.90/334,841.85 = 156,743.10/x
  3. Step 3: Cross multiply
    223,227.90x = 334,841.85 × 156,743.10
  4. Step 4: Simplify right side
    223,227.90x = 52,484,149,578.74
  5. Step 5: Solve for x
    x = 52,484,149,578.74/223,227.90
  6. Step 6: Final answer
    x = 235,114.65

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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.