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Finding the Fourth Proportional to 276,352.50, 413,670.65 and 149,678.12

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Solution

The fourth proportional to 276,352.50, 413,670.65 and 149,678.12 is: 224,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,352.50 : 413,670.65 = 149,678.12 : x
  2. Step 2: Convert to fraction form
    276,352.50/413,670.65 = 149,678.12/x
  3. Step 3: Cross multiply
    276,352.50x = 413,670.65 × 149,678.12
  4. Step 4: Simplify right side
    276,352.50x = 61,917,445,191.18
  5. Step 5: Solve for x
    x = 61,917,445,191.18/276,352.50
  6. Step 6: Final answer
    x = 224,052.42

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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.