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Finding the Fourth Proportional to 107,169.88, 147,894.18 and 59,422

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Solution

The fourth proportional to 107,169.88, 147,894.18 and 59,422 is: 82,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,169.88 : 147,894.18 = 59,422 : x
  2. Step 2: Convert to fraction form
    107,169.88/147,894.18 = 59,422/x
  3. Step 3: Cross multiply
    107,169.88x = 147,894.18 × 59,422
  4. Step 4: Simplify right side
    107,169.88x = 8,788,167,963.96
  5. Step 5: Solve for x
    x = 8,788,167,963.96/107,169.88
  6. Step 6: Final answer
    x = 82,002.22

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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.