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Finding the Fourth Proportional to 86,821.20, 130,231.80 and 42,454.80

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Solution

The fourth proportional to 86,821.20, 130,231.80 and 42,454.80 is: 63,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,821.20 : 130,231.80 = 42,454.80 : x
  2. Step 2: Convert to fraction form
    86,821.20/130,231.80 = 42,454.80/x
  3. Step 3: Cross multiply
    86,821.20x = 130,231.80 × 42,454.80
  4. Step 4: Simplify right side
    86,821.20x = 5,528,965,022.64
  5. Step 5: Solve for x
    x = 5,528,965,022.64/86,821.20
  6. Step 6: Final answer
    x = 63,682.20

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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.