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Finding the Fourth Proportional to 332,184, 498,276 and 107,732.20

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Solution

The fourth proportional to 332,184, 498,276 and 107,732.20 is: 161,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,184 : 498,276 = 107,732.20 : x
  2. Step 2: Convert to fraction form
    332,184/498,276 = 107,732.20/x
  3. Step 3: Cross multiply
    332,184x = 498,276 × 107,732.20
  4. Step 4: Simplify right side
    332,184x = 53,680,369,687.20
  5. Step 5: Solve for x
    x = 53,680,369,687.20/332,184
  6. Step 6: Final answer
    x = 161,598.30

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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.