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Finding the Fourth Proportional to 162,308.80, 243,463.20 and 149,867.20

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Solution

The fourth proportional to 162,308.80, 243,463.20 and 149,867.20 is: 224,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,308.80 : 243,463.20 = 149,867.20 : x
  2. Step 2: Convert to fraction form
    162,308.80/243,463.20 = 149,867.20/x
  3. Step 3: Cross multiply
    162,308.80x = 243,463.20 × 149,867.20
  4. Step 4: Simplify right side
    162,308.80x = 36,487,148,087.04
  5. Step 5: Solve for x
    x = 36,487,148,087.04/162,308.80
  6. Step 6: Final answer
    x = 224,800.80

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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.