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Finding the Fourth Proportional to 123,570.97, 185,094.01 and 83,614.48

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Solution

The fourth proportional to 123,570.97, 185,094.01 and 83,614.48 is: 125,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,570.97 : 185,094.01 = 83,614.48 : x
  2. Step 2: Convert to fraction form
    123,570.97/185,094.01 = 83,614.48/x
  3. Step 3: Cross multiply
    123,570.97x = 185,094.01 × 83,614.48
  4. Step 4: Simplify right side
    123,570.97x = 15,476,539,039.05
  5. Step 5: Solve for x
    x = 15,476,539,039.05/123,570.97
  6. Step 6: Final answer
    x = 125,244.14

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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.