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Finding the Fourth Proportional to 86,828.80, 130,048.80 and 67,043.20

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Solution

The fourth proportional to 86,828.80, 130,048.80 and 67,043.20 is: 100,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,828.80 : 130,048.80 = 67,043.20 : x
  2. Step 2: Convert to fraction form
    86,828.80/130,048.80 = 67,043.20/x
  3. Step 3: Cross multiply
    86,828.80x = 130,048.80 × 67,043.20
  4. Step 4: Simplify right side
    86,828.80x = 8,718,887,708.16
  5. Step 5: Solve for x
    x = 8,718,887,708.16/86,828.80
  6. Step 6: Final answer
    x = 100,414.70

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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.