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Finding the Fourth Proportional to 332,468.78, 498,703.20 and 83,150.78

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Solution

The fourth proportional to 332,468.78, 498,703.20 and 83,150.78 is: 124,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,468.78 : 498,703.20 = 83,150.78 : x
  2. Step 2: Convert to fraction form
    332,468.78/498,703.20 = 83,150.78/x
  3. Step 3: Cross multiply
    332,468.78x = 498,703.20 × 83,150.78
  4. Step 4: Simplify right side
    332,468.78x = 41,467,560,068.50
  5. Step 5: Solve for x
    x = 41,467,560,068.50/332,468.78
  6. Step 6: Final answer
    x = 124,726.18

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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.