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Finding the Fourth Proportional to 202,951.10, 304,426.65 and 146,963.90

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Solution

The fourth proportional to 202,951.10, 304,426.65 and 146,963.90 is: 220,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,951.10 : 304,426.65 = 146,963.90 : x
  2. Step 2: Convert to fraction form
    202,951.10/304,426.65 = 146,963.90/x
  3. Step 3: Cross multiply
    202,951.10x = 304,426.65 × 146,963.90
  4. Step 4: Simplify right side
    202,951.10x = 44,739,727,747.94
  5. Step 5: Solve for x
    x = 44,739,727,747.94/202,951.10
  6. Step 6: Final answer
    x = 220,445.85

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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.