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Finding the Fourth Proportional to 159,514.30, 220,139.40 and 87,894.24

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Solution

The fourth proportional to 159,514.30, 220,139.40 and 87,894.24 is: 121,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,514.30 : 220,139.40 = 87,894.24 : x
  2. Step 2: Convert to fraction form
    159,514.30/220,139.40 = 87,894.24/x
  3. Step 3: Cross multiply
    159,514.30x = 220,139.40 × 87,894.24
  4. Step 4: Simplify right side
    159,514.30x = 19,348,985,257.06
  5. Step 5: Solve for x
    x = 19,348,985,257.06/159,514.30
  6. Step 6: Final answer
    x = 121,299.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.