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Finding the Fourth Proportional to 117,994.52, 176,760.02 and 77,891.32

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Solution

The fourth proportional to 117,994.52, 176,760.02 and 77,891.32 is: 116,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,994.52 : 176,760.02 = 77,891.32 : x
  2. Step 2: Convert to fraction form
    117,994.52/176,760.02 = 77,891.32/x
  3. Step 3: Cross multiply
    117,994.52x = 176,760.02 × 77,891.32
  4. Step 4: Simplify right side
    117,994.52x = 13,768,071,696.70
  5. Step 5: Solve for x
    x = 13,768,071,696.70/117,994.52
  6. Step 6: Final answer
    x = 116,683.99

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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.