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Finding the Fourth Proportional to 158,565.78, 218,827.38 and 86,948.52

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Solution

The fourth proportional to 158,565.78, 218,827.38 and 86,948.52 is: 119,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,565.78 : 218,827.38 = 86,948.52 : x
  2. Step 2: Convert to fraction form
    158,565.78/218,827.38 = 86,948.52/x
  3. Step 3: Cross multiply
    158,565.78x = 218,827.38 × 86,948.52
  4. Step 4: Simplify right side
    158,565.78x = 19,026,716,826.48
  5. Step 5: Solve for x
    x = 19,026,716,826.48/158,565.78
  6. Step 6: Final answer
    x = 119,992.58

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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.