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Finding the Fourth Proportional to 226,957.62, 340,337.96 and 77,157.68

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Solution

The fourth proportional to 226,957.62, 340,337.96 and 77,157.68 is: 115,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,957.62 : 340,337.96 = 77,157.68 : x
  2. Step 2: Convert to fraction form
    226,957.62/340,337.96 = 77,157.68/x
  3. Step 3: Cross multiply
    226,957.62x = 340,337.96 × 77,157.68
  4. Step 4: Simplify right side
    226,957.62x = 26,259,687,409.53
  5. Step 5: Solve for x
    x = 26,259,687,409.53/226,957.62
  6. Step 6: Final answer
    x = 115,703.04

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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.