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Finding the Fourth Proportional to 117,913.60, 176,870.40 and 82,484.20

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Solution

The fourth proportional to 117,913.60, 176,870.40 and 82,484.20 is: 123,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,913.60 : 176,870.40 = 82,484.20 : x
  2. Step 2: Convert to fraction form
    117,913.60/176,870.40 = 82,484.20/x
  3. Step 3: Cross multiply
    117,913.60x = 176,870.40 × 82,484.20
  4. Step 4: Simplify right side
    117,913.60x = 14,589,013,447.68
  5. Step 5: Solve for x
    x = 14,589,013,447.68/117,913.60
  6. Step 6: Final answer
    x = 123,726.30

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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.