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Finding the Fourth Proportional to 225,409.83, 337,905.76 and 83,176.66

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Solution

The fourth proportional to 225,409.83, 337,905.76 and 83,176.66 is: 124,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,409.83 : 337,905.76 = 83,176.66 : x
  2. Step 2: Convert to fraction form
    225,409.83/337,905.76 = 83,176.66/x
  3. Step 3: Cross multiply
    225,409.83x = 337,905.76 × 83,176.66
  4. Step 4: Simplify right side
    225,409.83x = 28,105,872,095.68
  5. Step 5: Solve for x
    x = 28,105,872,095.68/225,409.83
  6. Step 6: Final answer
    x = 124,687.88

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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.