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Finding the Fourth Proportional to 117,449.30, 176,116.54 and 81,927.64

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Solution

The fourth proportional to 117,449.30, 176,116.54 and 81,927.64 is: 122,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,449.30 : 176,116.54 = 81,927.64 : x
  2. Step 2: Convert to fraction form
    117,449.30/176,116.54 = 81,927.64/x
  3. Step 3: Cross multiply
    117,449.30x = 176,116.54 × 81,927.64
  4. Step 4: Simplify right side
    117,449.30x = 14,428,812,487.17
  5. Step 5: Solve for x
    x = 14,428,812,487.17/117,449.30
  6. Step 6: Final answer
    x = 122,851.41

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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.