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Finding the Fourth Proportional to 98,496.42, 147,799.17 and 61,076.58

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Solution

The fourth proportional to 98,496.42, 147,799.17 and 61,076.58 is: 91,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,496.42 : 147,799.17 = 61,076.58 : x
  2. Step 2: Convert to fraction form
    98,496.42/147,799.17 = 61,076.58/x
  3. Step 3: Cross multiply
    98,496.42x = 147,799.17 × 61,076.58
  4. Step 4: Simplify right side
    98,496.42x = 9,027,067,830.44
  5. Step 5: Solve for x
    x = 9,027,067,830.44/98,496.42
  6. Step 6: Final answer
    x = 91,648.69

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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.