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Finding the Fourth Proportional to 117,672.16, 176,513.64 and 57,754.84

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Solution

The fourth proportional to 117,672.16, 176,513.64 and 57,754.84 is: 86,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,672.16 : 176,513.64 = 57,754.84 : x
  2. Step 2: Convert to fraction form
    117,672.16/176,513.64 = 57,754.84/x
  3. Step 3: Cross multiply
    117,672.16x = 176,513.64 × 57,754.84
  4. Step 4: Simplify right side
    117,672.16x = 10,194,517,036.02
  5. Step 5: Solve for x
    x = 10,194,517,036.02/117,672.16
  6. Step 6: Final answer
    x = 86,634.91

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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.