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Finding the Fourth Proportional to 225,141.76, 337,469.64 and 146,312.56

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Solution

The fourth proportional to 225,141.76, 337,469.64 and 146,312.56 is: 219,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,141.76 : 337,469.64 = 146,312.56 : x
  2. Step 2: Convert to fraction form
    225,141.76/337,469.64 = 146,312.56/x
  3. Step 3: Cross multiply
    225,141.76x = 337,469.64 × 146,312.56
  4. Step 4: Simplify right side
    225,141.76x = 49,376,046,950.68
  5. Step 5: Solve for x
    x = 49,376,046,950.68/225,141.76
  6. Step 6: Final answer
    x = 219,310.92

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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.