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Finding the Fourth Proportional to 117,434.61, 176,151.92 and 42,540.80

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Solution

The fourth proportional to 117,434.61, 176,151.92 and 42,540.80 is: 63,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,434.61 : 176,151.92 = 42,540.80 : x
  2. Step 2: Convert to fraction form
    117,434.61/176,151.92 = 42,540.80/x
  3. Step 3: Cross multiply
    117,434.61x = 176,151.92 × 42,540.80
  4. Step 4: Simplify right side
    117,434.61x = 7,493,642,504.87
  5. Step 5: Solve for x
    x = 7,493,642,504.87/117,434.61
  6. Step 6: Final answer
    x = 63,811.19

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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.