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Finding the Fourth Proportional to 274,207.50, 411,123.78 and 146,143.08

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Solution

The fourth proportional to 274,207.50, 411,123.78 and 146,143.08 is: 219,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,207.50 : 411,123.78 = 146,143.08 : x
  2. Step 2: Convert to fraction form
    274,207.50/411,123.78 = 146,143.08/x
  3. Step 3: Cross multiply
    274,207.50x = 411,123.78 × 146,143.08
  4. Step 4: Simplify right side
    274,207.50x = 60,082,895,470.44
  5. Step 5: Solve for x
    x = 60,082,895,470.44/274,207.50
  6. Step 6: Final answer
    x = 219,114.70

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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.