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Finding the Fourth Proportional to 172,772.25, 238,426.11 and 97,320.75

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Solution

The fourth proportional to 172,772.25, 238,426.11 and 97,320.75 is: 134,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,772.25 : 238,426.11 = 97,320.75 : x
  2. Step 2: Convert to fraction form
    172,772.25/238,426.11 = 97,320.75/x
  3. Step 3: Cross multiply
    172,772.25x = 238,426.11 × 97,320.75
  4. Step 4: Simplify right side
    172,772.25x = 23,203,807,844.78
  5. Step 5: Solve for x
    x = 23,203,807,844.78/172,772.25
  6. Step 6: Final answer
    x = 134,302.86

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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.