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Finding the Fourth Proportional to 203,124.30, 304,470.45 and 97,874.70

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Solution

The fourth proportional to 203,124.30, 304,470.45 and 97,874.70 is: 146,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,124.30 : 304,470.45 = 97,874.70 : x
  2. Step 2: Convert to fraction form
    203,124.30/304,470.45 = 97,874.70/x
  3. Step 3: Cross multiply
    203,124.30x = 304,470.45 × 97,874.70
  4. Step 4: Simplify right side
    203,124.30x = 29,799,953,952.62
  5. Step 5: Solve for x
    x = 29,799,953,952.62/203,124.30
  6. Step 6: Final answer
    x = 146,707.97

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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.