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Finding the Fourth Proportional to 442,103.20, 663,154.80 and 146,615.20

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Solution

The fourth proportional to 442,103.20, 663,154.80 and 146,615.20 is: 219,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,103.20 : 663,154.80 = 146,615.20 : x
  2. Step 2: Convert to fraction form
    442,103.20/663,154.80 = 146,615.20/x
  3. Step 3: Cross multiply
    442,103.20x = 663,154.80 × 146,615.20
  4. Step 4: Simplify right side
    442,103.20x = 97,228,573,632.96
  5. Step 5: Solve for x
    x = 97,228,573,632.96/442,103.20
  6. Step 6: Final answer
    x = 219,922.80

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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.