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Finding the Fourth Proportional to 332,854.92, 499,262.94 and 96,192.36

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Solution

The fourth proportional to 332,854.92, 499,262.94 and 96,192.36 is: 144,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,854.92 : 499,262.94 = 96,192.36 : x
  2. Step 2: Convert to fraction form
    332,854.92/499,262.94 = 96,192.36/x
  3. Step 3: Cross multiply
    332,854.92x = 499,262.94 × 96,192.36
  4. Step 4: Simplify right side
    332,854.92x = 48,025,280,459.14
  5. Step 5: Solve for x
    x = 48,025,280,459.14/332,854.92
  6. Step 6: Final answer
    x = 144,282.92

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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.