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Finding the Fourth Proportional to 162,031.20, 243,046.80 and 92,047.20

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Solution

The fourth proportional to 162,031.20, 243,046.80 and 92,047.20 is: 138,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,031.20 : 243,046.80 = 92,047.20 : x
  2. Step 2: Convert to fraction form
    162,031.20/243,046.80 = 92,047.20/x
  3. Step 3: Cross multiply
    162,031.20x = 243,046.80 × 92,047.20
  4. Step 4: Simplify right side
    162,031.20x = 22,371,777,408.96
  5. Step 5: Solve for x
    x = 22,371,777,408.96/162,031.20
  6. Step 6: Final answer
    x = 138,070.80

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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.