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Finding the Fourth Proportional to 412,599.66, 618,908.16 and 132,116.10

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Solution

The fourth proportional to 412,599.66, 618,908.16 and 132,116.10 is: 198,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,599.66 : 618,908.16 = 132,116.10 : x
  2. Step 2: Convert to fraction form
    412,599.66/618,908.16 = 132,116.10/x
  3. Step 3: Cross multiply
    412,599.66x = 618,908.16 × 132,116.10
  4. Step 4: Simplify right side
    412,599.66x = 81,767,732,357.38
  5. Step 5: Solve for x
    x = 81,767,732,357.38/412,599.66
  6. Step 6: Final answer
    x = 198,176.93

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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.