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Finding the Fourth Proportional to 106,873, 147,472 and 59,119.88

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Solution

The fourth proportional to 106,873, 147,472 and 59,119.88 is: 81,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,873 : 147,472 = 59,119.88 : x
  2. Step 2: Convert to fraction form
    106,873/147,472 = 59,119.88/x
  3. Step 3: Cross multiply
    106,873x = 147,472 × 59,119.88
  4. Step 4: Simplify right side
    106,873x = 8,718,526,943.36
  5. Step 5: Solve for x
    x = 8,718,526,943.36/106,873
  6. Step 6: Final answer
    x = 81,578.39

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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.