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Finding the Fourth Proportional to 162,472.20, 243,362.70 and 134,824.20

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Solution

The fourth proportional to 162,472.20, 243,362.70 and 134,824.20 is: 201,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,472.20 : 243,362.70 = 134,824.20 : x
  2. Step 2: Convert to fraction form
    162,472.20/243,362.70 = 134,824.20/x
  3. Step 3: Cross multiply
    162,472.20x = 243,362.70 × 134,824.20
  4. Step 4: Simplify right side
    162,472.20x = 32,811,181,337.34
  5. Step 5: Solve for x
    x = 32,811,181,337.34/162,472.20
  6. Step 6: Final answer
    x = 201,949.51

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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.