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Finding the Fourth Proportional to 172,964.16, 238,701.72 and 97,517.52

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Solution

The fourth proportional to 172,964.16, 238,701.72 and 97,517.52 is: 134,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,964.16 : 238,701.72 = 97,517.52 : x
  2. Step 2: Convert to fraction form
    172,964.16/238,701.72 = 97,517.52/x
  3. Step 3: Cross multiply
    172,964.16x = 238,701.72 × 97,517.52
  4. Step 4: Simplify right side
    172,964.16x = 23,277,599,754.13
  5. Step 5: Solve for x
    x = 23,277,599,754.13/172,964.16
  6. Step 6: Final answer
    x = 134,580.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.