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Finding the Fourth Proportional to 332,180.46, 498,349.80 and 107,541

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Solution

The fourth proportional to 332,180.46, 498,349.80 and 107,541 is: 161,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,180.46 : 498,349.80 = 107,541 : x
  2. Step 2: Convert to fraction form
    332,180.46/498,349.80 = 107,541/x
  3. Step 3: Cross multiply
    332,180.46x = 498,349.80 × 107,541
  4. Step 4: Simplify right side
    332,180.46x = 53,593,035,841.80
  5. Step 5: Solve for x
    x = 53,593,035,841.80/332,180.46
  6. Step 6: Final answer
    x = 161,337.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.