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Finding the Fourth Proportional to 101,598, 140,209.56 and 59,149.68

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Solution

The fourth proportional to 101,598, 140,209.56 and 59,149.68 is: 81,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,598 : 140,209.56 = 59,149.68 : x
  2. Step 2: Convert to fraction form
    101,598/140,209.56 = 59,149.68/x
  3. Step 3: Cross multiply
    101,598x = 140,209.56 × 59,149.68
  4. Step 4: Simplify right side
    101,598x = 8,293,350,606.94
  5. Step 5: Solve for x
    x = 8,293,350,606.94/101,598
  6. Step 6: Final answer
    x = 81,629.07

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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.