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Finding the Fourth Proportional to 158,029.25, 218,080.35 and 86,409.32

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Solution

The fourth proportional to 158,029.25, 218,080.35 and 86,409.32 is: 119,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,029.25 : 218,080.35 = 86,409.32 : x
  2. Step 2: Convert to fraction form
    158,029.25/218,080.35 = 86,409.32/x
  3. Step 3: Cross multiply
    158,029.25x = 218,080.35 × 86,409.32
  4. Step 4: Simplify right side
    158,029.25x = 18,844,173,658.46
  5. Step 5: Solve for x
    x = 18,844,173,658.46/158,029.25
  6. Step 6: Final answer
    x = 119,244.85

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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.