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Finding the Fourth Proportional to 98,982.32, 148,473.48 and 81,398.84

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Solution

The fourth proportional to 98,982.32, 148,473.48 and 81,398.84 is: 122,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,982.32 : 148,473.48 = 81,398.84 : x
  2. Step 2: Convert to fraction form
    98,982.32/148,473.48 = 81,398.84/x
  3. Step 3: Cross multiply
    98,982.32x = 148,473.48 × 81,398.84
  4. Step 4: Simplify right side
    98,982.32x = 12,085,569,042.76
  5. Step 5: Solve for x
    x = 12,085,569,042.76/98,982.32
  6. Step 6: Final answer
    x = 122,098.26

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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.