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Finding the Fourth Proportional to 158,878.67, 238,454.69 and 92,226.20

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Solution

The fourth proportional to 158,878.67, 238,454.69 and 92,226.20 is: 138,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,878.67 : 238,454.69 = 92,226.20 : x
  2. Step 2: Convert to fraction form
    158,878.67/238,454.69 = 92,226.20/x
  3. Step 3: Cross multiply
    158,878.67x = 238,454.69 × 92,226.20
  4. Step 4: Simplify right side
    158,878.67x = 21,991,768,277.47
  5. Step 5: Solve for x
    x = 21,991,768,277.47/158,878.67
  6. Step 6: Final answer
    x = 138,418.64

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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.