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Finding the Fourth Proportional to 162,713.20, 244,069.80 and 83,981.20

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Solution

The fourth proportional to 162,713.20, 244,069.80 and 83,981.20 is: 125,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,713.20 : 244,069.80 = 83,981.20 : x
  2. Step 2: Convert to fraction form
    162,713.20/244,069.80 = 83,981.20/x
  3. Step 3: Cross multiply
    162,713.20x = 244,069.80 × 83,981.20
  4. Step 4: Simplify right side
    162,713.20x = 20,497,274,687.76
  5. Step 5: Solve for x
    x = 20,497,274,687.76/162,713.20
  6. Step 6: Final answer
    x = 125,971.80

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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.