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Finding the Fourth Proportional to 206,719.20, 310,078.80 and 56,959.20

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Solution

The fourth proportional to 206,719.20, 310,078.80 and 56,959.20 is: 85,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,719.20 : 310,078.80 = 56,959.20 : x
  2. Step 2: Convert to fraction form
    206,719.20/310,078.80 = 56,959.20/x
  3. Step 3: Cross multiply
    206,719.20x = 310,078.80 × 56,959.20
  4. Step 4: Simplify right side
    206,719.20x = 17,661,840,384.96
  5. Step 5: Solve for x
    x = 17,661,840,384.96/206,719.20
  6. Step 6: Final answer
    x = 85,438.80

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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.