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Finding the Fourth Proportional to 185,514.60, 278,271.90 and 138,858.60

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Solution

The fourth proportional to 185,514.60, 278,271.90 and 138,858.60 is: 208,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,514.60 : 278,271.90 = 138,858.60 : x
  2. Step 2: Convert to fraction form
    185,514.60/278,271.90 = 138,858.60/x
  3. Step 3: Cross multiply
    185,514.60x = 278,271.90 × 138,858.60
  4. Step 4: Simplify right side
    185,514.60x = 38,640,446,453.34
  5. Step 5: Solve for x
    x = 38,640,446,453.34/185,514.60
  6. Step 6: Final answer
    x = 208,287.90

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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.