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Finding the Fourth Proportional to 123,843.14, 170,955.84 and 83,611.38

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Solution

The fourth proportional to 123,843.14, 170,955.84 and 83,611.38 is: 115,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,843.14 : 170,955.84 = 83,611.38 : x
  2. Step 2: Convert to fraction form
    123,843.14/170,955.84 = 83,611.38/x
  3. Step 3: Cross multiply
    123,843.14x = 170,955.84 × 83,611.38
  4. Step 4: Simplify right side
    123,843.14x = 14,293,853,701.46
  5. Step 5: Solve for x
    x = 14,293,853,701.46/123,843.14
  6. Step 6: Final answer
    x = 115,419.02

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1.5x scale

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.