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Finding the Fourth Proportional to 117,344.80, 176,060.40 and 47,231.20

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Solution

The fourth proportional to 117,344.80, 176,060.40 and 47,231.20 is: 70,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,344.80 : 176,060.40 = 47,231.20 : x
  2. Step 2: Convert to fraction form
    117,344.80/176,060.40 = 47,231.20/x
  3. Step 3: Cross multiply
    117,344.80x = 176,060.40 × 47,231.20
  4. Step 4: Simplify right side
    117,344.80x = 8,315,543,964.48
  5. Step 5: Solve for x
    x = 8,315,543,964.48/117,344.80
  6. Step 6: Final answer
    x = 70,864.19

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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.