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Finding the Fourth Proportional to 229,793.70, 344,971.35 and 130,023.30

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Solution

The fourth proportional to 229,793.70, 344,971.35 and 130,023.30 is: 195,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,793.70 : 344,971.35 = 130,023.30 : x
  2. Step 2: Convert to fraction form
    229,793.70/344,971.35 = 130,023.30/x
  3. Step 3: Cross multiply
    229,793.70x = 344,971.35 × 130,023.30
  4. Step 4: Simplify right side
    229,793.70x = 44,854,313,332.46
  5. Step 5: Solve for x
    x = 44,854,313,332.46/229,793.70
  6. Step 6: Final answer
    x = 195,193.83

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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.