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Finding the Fourth Proportional to 218,590.76, 327,897.84 and 68,842.71

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Solution

The fourth proportional to 218,590.76, 327,897.84 and 68,842.71 is: 103,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,590.76 : 327,897.84 = 68,842.71 : x
  2. Step 2: Convert to fraction form
    218,590.76/327,897.84 = 68,842.71/x
  3. Step 3: Cross multiply
    218,590.76x = 327,897.84 × 68,842.71
  4. Step 4: Simplify right side
    218,590.76x = 22,573,373,925.04
  5. Step 5: Solve for x
    x = 22,573,373,925.04/218,590.76
  6. Step 6: Final answer
    x = 103,267.74

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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.