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Finding the Fourth Proportional to 98,954.27, 148,081.03 and 61,531.97

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Solution

The fourth proportional to 98,954.27, 148,081.03 and 61,531.97 is: 92,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,954.27 : 148,081.03 = 61,531.97 : x
  2. Step 2: Convert to fraction form
    98,954.27/148,081.03 = 61,531.97/x
  3. Step 3: Cross multiply
    98,954.27x = 148,081.03 × 61,531.97
  4. Step 4: Simplify right side
    98,954.27x = 9,111,717,495.53
  5. Step 5: Solve for x
    x = 9,111,717,495.53/98,954.27
  6. Step 6: Final answer
    x = 92,080.08

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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.