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Finding the Fourth Proportional to 117,434.40, 176,151.72 and 55,104.96

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Solution

The fourth proportional to 117,434.40, 176,151.72 and 55,104.96 is: 82,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,434.40 : 176,151.72 = 55,104.96 : x
  2. Step 2: Convert to fraction form
    117,434.40/176,151.72 = 55,104.96/x
  3. Step 3: Cross multiply
    117,434.40x = 176,151.72 × 55,104.96
  4. Step 4: Simplify right side
    117,434.40x = 9,706,833,484.53
  5. Step 5: Solve for x
    x = 9,706,833,484.53/117,434.40
  6. Step 6: Final answer
    x = 82,657.50

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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.