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Finding the Fourth Proportional to 98,443.70, 135,714.29 and 69,677.82

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Solution

The fourth proportional to 98,443.70, 135,714.29 and 69,677.82 is: 96,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,443.70 : 135,714.29 = 69,677.82 : x
  2. Step 2: Convert to fraction form
    98,443.70/135,714.29 = 69,677.82/x
  3. Step 3: Cross multiply
    98,443.70x = 135,714.29 × 69,677.82
  4. Step 4: Simplify right side
    98,443.70x = 9,456,275,521.66
  5. Step 5: Solve for x
    x = 9,456,275,521.66/98,443.70
  6. Step 6: Final answer
    x = 96,057.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.