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Finding the Fourth Proportional to 123,053.60, 184,434.60 and 110,514.80

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Solution

The fourth proportional to 123,053.60, 184,434.60 and 110,514.80 is: 165,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,053.60 : 184,434.60 = 110,514.80 : x
  2. Step 2: Convert to fraction form
    123,053.60/184,434.60 = 110,514.80/x
  3. Step 3: Cross multiply
    123,053.60x = 184,434.60 × 110,514.80
  4. Step 4: Simplify right side
    123,053.60x = 20,382,752,932.08
  5. Step 5: Solve for x
    x = 20,382,752,932.08/123,053.60
  6. Step 6: Final answer
    x = 165,641.26

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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.