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Finding the Fourth Proportional to 158,456.52, 218,671.72 and 86,835

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Solution

The fourth proportional to 158,456.52, 218,671.72 and 86,835 is: 119,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,456.52 : 218,671.72 = 86,835 : x
  2. Step 2: Convert to fraction form
    158,456.52/218,671.72 = 86,835/x
  3. Step 3: Cross multiply
    158,456.52x = 218,671.72 × 86,835
  4. Step 4: Simplify right side
    158,456.52x = 18,988,358,589.11
  5. Step 5: Solve for x
    x = 18,988,358,589.11/158,456.52
  6. Step 6: Final answer
    x = 119,833.24

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