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Finding the Fourth Proportional to 98,023.97, 146,371.99 and 77,806.63

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Solution

The fourth proportional to 98,023.97, 146,371.99 and 77,806.63 is: 116,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,023.97 : 146,371.99 = 77,806.63 : x
  2. Step 2: Convert to fraction form
    98,023.97/146,371.99 = 77,806.63/x
  3. Step 3: Cross multiply
    98,023.97x = 146,371.99 × 77,806.63
  4. Step 4: Simplify right side
    98,023.97x = 11,388,711,286.72
  5. Step 5: Solve for x
    x = 11,388,711,286.72/98,023.97
  6. Step 6: Final answer
    x = 116,182.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.