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Finding the Fourth Proportional to 361,877.20, 542,815.80 and 195,989.20

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Solution

The fourth proportional to 361,877.20, 542,815.80 and 195,989.20 is: 293,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,877.20 : 542,815.80 = 195,989.20 : x
  2. Step 2: Convert to fraction form
    361,877.20/542,815.80 = 195,989.20/x
  3. Step 3: Cross multiply
    361,877.20x = 542,815.80 × 195,989.20
  4. Step 4: Simplify right side
    361,877.20x = 106,386,034,389.36
  5. Step 5: Solve for x
    x = 106,386,034,389.36/361,877.20
  6. Step 6: Final answer
    x = 293,983.80

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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.