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Finding the Fourth Proportional to 162,855.20, 244,274.70 and 83,977.40

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Solution

The fourth proportional to 162,855.20, 244,274.70 and 83,977.40 is: 125,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,855.20 : 244,274.70 = 83,977.40 : x
  2. Step 2: Convert to fraction form
    162,855.20/244,274.70 = 83,977.40/x
  3. Step 3: Cross multiply
    162,855.20x = 244,274.70 × 83,977.40
  4. Step 4: Simplify right side
    162,855.20x = 20,513,554,191.78
  5. Step 5: Solve for x
    x = 20,513,554,191.78/162,855.20
  6. Step 6: Final answer
    x = 125,961.92

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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.