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Finding the Fourth Proportional to 292,211.54, 437,951.41 and 156,943.20

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Solution

The fourth proportional to 292,211.54, 437,951.41 and 156,943.20 is: 235,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,211.54 : 437,951.41 = 156,943.20 : x
  2. Step 2: Convert to fraction form
    292,211.54/437,951.41 = 156,943.20/x
  3. Step 3: Cross multiply
    292,211.54x = 437,951.41 × 156,943.20
  4. Step 4: Simplify right side
    292,211.54x = 68,733,495,729.91
  5. Step 5: Solve for x
    x = 68,733,495,729.91/292,211.54
  6. Step 6: Final answer
    x = 235,218.28

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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.