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Finding the Fourth Proportional to 91,842.20, 137,763.30 and 80,178.20

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Solution

The fourth proportional to 91,842.20, 137,763.30 and 80,178.20 is: 120,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,842.20 : 137,763.30 = 80,178.20 : x
  2. Step 2: Convert to fraction form
    91,842.20/137,763.30 = 80,178.20/x
  3. Step 3: Cross multiply
    91,842.20x = 137,763.30 × 80,178.20
  4. Step 4: Simplify right side
    91,842.20x = 11,045,613,420.06
  5. Step 5: Solve for x
    x = 11,045,613,420.06/91,842.20
  6. Step 6: Final answer
    x = 120,267.30

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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.