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Finding the Fourth Proportional to 206,684.16, 310,080 and 58,951.68

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Solution

The fourth proportional to 206,684.16, 310,080 and 58,951.68 is: 88,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684.16 : 310,080 = 58,951.68 : x
  2. Step 2: Convert to fraction form
    206,684.16/310,080 = 58,951.68/x
  3. Step 3: Cross multiply
    206,684.16x = 310,080 × 58,951.68
  4. Step 4: Simplify right side
    206,684.16x = 18,279,736,934.40
  5. Step 5: Solve for x
    x = 18,279,736,934.40/206,684.16
  6. Step 6: Final answer
    x = 88,442.85

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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.