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Finding the Fourth Proportional to 123,315.60, 184,865.40 and 83,744.40

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Solution

The fourth proportional to 123,315.60, 184,865.40 and 83,744.40 is: 125,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,315.60 : 184,865.40 = 83,744.40 : x
  2. Step 2: Convert to fraction form
    123,315.60/184,865.40 = 83,744.40/x
  3. Step 3: Cross multiply
    123,315.60x = 184,865.40 × 83,744.40
  4. Step 4: Simplify right side
    123,315.60x = 15,481,442,003.76
  5. Step 5: Solve for x
    x = 15,481,442,003.76/123,315.60
  6. Step 6: Final answer
    x = 125,543.26

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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.