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Finding the Fourth Proportional to 136,675.40, 205,013.10 and 83,913.80

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Solution

The fourth proportional to 136,675.40, 205,013.10 and 83,913.80 is: 125,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,675.40 : 205,013.10 = 83,913.80 : x
  2. Step 2: Convert to fraction form
    136,675.40/205,013.10 = 83,913.80/x
  3. Step 3: Cross multiply
    136,675.40x = 205,013.10 × 83,913.80
  4. Step 4: Simplify right side
    136,675.40x = 17,203,428,270.78
  5. Step 5: Solve for x
    x = 17,203,428,270.78/136,675.40
  6. Step 6: Final answer
    x = 125,870.70

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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.