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Finding the Fourth Proportional to 229,877.66, 344,705.42 and 80,114.42

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Solution

The fourth proportional to 229,877.66, 344,705.42 and 80,114.42 is: 120,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,877.66 : 344,705.42 = 80,114.42 : x
  2. Step 2: Convert to fraction form
    229,877.66/344,705.42 = 80,114.42/x
  3. Step 3: Cross multiply
    229,877.66x = 344,705.42 × 80,114.42
  4. Step 4: Simplify right side
    229,877.66x = 27,615,874,794.16
  5. Step 5: Solve for x
    x = 27,615,874,794.16/229,877.66
  6. Step 6: Final answer
    x = 120,132.92

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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.