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Finding the Fourth Proportional to 229,788.34, 344,691.78 and 80,043.77

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Solution

The fourth proportional to 229,788.34, 344,691.78 and 80,043.77 is: 120,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,788.34 : 344,691.78 = 80,043.77 : x
  2. Step 2: Convert to fraction form
    229,788.34/344,691.78 = 80,043.77/x
  3. Step 3: Cross multiply
    229,788.34x = 344,691.78 × 80,043.77
  4. Step 4: Simplify right side
    229,788.34x = 27,590,429,559.21
  5. Step 5: Solve for x
    x = 27,590,429,559.21/229,788.34
  6. Step 6: Final answer
    x = 120,068.88

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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.