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Finding the Fourth Proportional to 173,871.28, 239,943.36 and 102,254.32

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Solution

The fourth proportional to 173,871.28, 239,943.36 and 102,254.32 is: 141,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,871.28 : 239,943.36 = 102,254.32 : x
  2. Step 2: Convert to fraction form
    173,871.28/239,943.36 = 102,254.32/x
  3. Step 3: Cross multiply
    173,871.28x = 239,943.36 × 102,254.32
  4. Step 4: Simplify right side
    173,871.28x = 24,535,245,115.32
  5. Step 5: Solve for x
    x = 24,535,245,115.32/173,871.28
  6. Step 6: Final answer
    x = 141,111.55

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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.