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Finding the Fourth Proportional to 117,765.60, 176,447.52 and 77,758.08

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Solution

The fourth proportional to 117,765.60, 176,447.52 and 77,758.08 is: 116,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,765.60 : 176,447.52 = 77,758.08 : x
  2. Step 2: Convert to fraction form
    117,765.60/176,447.52 = 77,758.08/x
  3. Step 3: Cross multiply
    117,765.60x = 176,447.52 × 77,758.08
  4. Step 4: Simplify right side
    117,765.60x = 13,720,220,375.96
  5. Step 5: Solve for x
    x = 13,720,220,375.96/117,765.60
  6. Step 6: Final answer
    x = 116,504.48

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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.