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Finding the Fourth Proportional to 172,959.41, 238,593.23 and 140,730.02

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Solution

The fourth proportional to 172,959.41, 238,593.23 and 140,730.02 is: 194,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,959.41 : 238,593.23 = 140,730.02 : x
  2. Step 2: Convert to fraction form
    172,959.41/238,593.23 = 140,730.02/x
  3. Step 3: Cross multiply
    172,959.41x = 238,593.23 × 140,730.02
  4. Step 4: Simplify right side
    172,959.41x = 33,577,229,555.61
  5. Step 5: Solve for x
    x = 33,577,229,555.61/172,959.41
  6. Step 6: Final answer
    x = 194,133.58

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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.