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Finding the Fourth Proportional to 226,446.48, 312,499.08 and 130,957.20

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Solution

The fourth proportional to 226,446.48, 312,499.08 and 130,957.20 is: 180,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,446.48 : 312,499.08 = 130,957.20 : x
  2. Step 2: Convert to fraction form
    226,446.48/312,499.08 = 130,957.20/x
  3. Step 3: Cross multiply
    226,446.48x = 312,499.08 × 130,957.20
  4. Step 4: Simplify right side
    226,446.48x = 40,924,004,519.38
  5. Step 5: Solve for x
    x = 40,924,004,519.38/226,446.48
  6. Step 6: Final answer
    x = 180,722.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.