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Finding the Fourth Proportional to 123,582.40, 185,373.60 and 83,924.80

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Solution

The fourth proportional to 123,582.40, 185,373.60 and 83,924.80 is: 125,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,582.40 : 185,373.60 = 83,924.80 : x
  2. Step 2: Convert to fraction form
    123,582.40/185,373.60 = 83,924.80/x
  3. Step 3: Cross multiply
    123,582.40x = 185,373.60 × 83,924.80
  4. Step 4: Simplify right side
    123,582.40x = 15,557,442,305.28
  5. Step 5: Solve for x
    x = 15,557,442,305.28/123,582.40
  6. Step 6: Final answer
    x = 125,887.20

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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.