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Finding the Fourth Proportional to 162,031.80, 243,047.70 and 73,288.20

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Solution

The fourth proportional to 162,031.80, 243,047.70 and 73,288.20 is: 109,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,031.80 : 243,047.70 = 73,288.20 : x
  2. Step 2: Convert to fraction form
    162,031.80/243,047.70 = 73,288.20/x
  3. Step 3: Cross multiply
    162,031.80x = 243,047.70 × 73,288.20
  4. Step 4: Simplify right side
    162,031.80x = 17,812,528,447.14
  5. Step 5: Solve for x
    x = 17,812,528,447.14/162,031.80
  6. Step 6: Final answer
    x = 109,932.30

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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.