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Finding the Fourth Proportional to 98,976.80, 148,497.78 and 65,827.28

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Solution

The fourth proportional to 98,976.80, 148,497.78 and 65,827.28 is: 98,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,976.80 : 148,497.78 = 65,827.28 : x
  2. Step 2: Convert to fraction form
    98,976.80/148,497.78 = 65,827.28/x
  3. Step 3: Cross multiply
    98,976.80x = 148,497.78 × 65,827.28
  4. Step 4: Simplify right side
    98,976.80x = 9,775,204,943.44
  5. Step 5: Solve for x
    x = 9,775,204,943.44/98,976.80
  6. Step 6: Final answer
    x = 98,762.59

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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.