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Finding the Fourth Proportional to 225,898.80, 338,459.40 and 146,972.40

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Solution

The fourth proportional to 225,898.80, 338,459.40 and 146,972.40 is: 220,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,898.80 : 338,459.40 = 146,972.40 : x
  2. Step 2: Convert to fraction form
    225,898.80/338,459.40 = 146,972.40/x
  3. Step 3: Cross multiply
    225,898.80x = 338,459.40 × 146,972.40
  4. Step 4: Simplify right side
    225,898.80x = 49,744,190,320.56
  5. Step 5: Solve for x
    x = 49,744,190,320.56/225,898.80
  6. Step 6: Final answer
    x = 220,205.64

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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.