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Finding the Fourth Proportional to 136,695.40, 205,043.10 and 83,933.80

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Solution

The fourth proportional to 136,695.40, 205,043.10 and 83,933.80 is: 125,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,695.40 : 205,043.10 = 83,933.80 : x
  2. Step 2: Convert to fraction form
    136,695.40/205,043.10 = 83,933.80/x
  3. Step 3: Cross multiply
    136,695.40x = 205,043.10 × 83,933.80
  4. Step 4: Simplify right side
    136,695.40x = 17,210,046,546.78
  5. Step 5: Solve for x
    x = 17,210,046,546.78/136,695.40
  6. Step 6: Final answer
    x = 125,900.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.