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Finding the Fourth Proportional to 107,101.80, 147,791.78 and 59,357.16

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Solution

The fourth proportional to 107,101.80, 147,791.78 and 59,357.16 is: 81,908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,101.80 : 147,791.78 = 59,357.16 : x
  2. Step 2: Convert to fraction form
    107,101.80/147,791.78 = 59,357.16/x
  3. Step 3: Cross multiply
    107,101.80x = 147,791.78 × 59,357.16
  4. Step 4: Simplify right side
    107,101.80x = 8,772,500,332.14
  5. Step 5: Solve for x
    x = 8,772,500,332.14/107,101.80
  6. Step 6: Final answer
    x = 81,908.06

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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.