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Finding the Fourth Proportional to 90,947.20, 136,420.80 and 86,864.80

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Solution

The fourth proportional to 90,947.20, 136,420.80 and 86,864.80 is: 130,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,947.20 : 136,420.80 = 86,864.80 : x
  2. Step 2: Convert to fraction form
    90,947.20/136,420.80 = 86,864.80/x
  3. Step 3: Cross multiply
    90,947.20x = 136,420.80 × 86,864.80
  4. Step 4: Simplify right side
    90,947.20x = 11,850,165,507.84
  5. Step 5: Solve for x
    x = 11,850,165,507.84/90,947.20
  6. Step 6: Final answer
    x = 130,297.20

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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.