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Finding the Fourth Proportional to 98,738, 136,258.44 and 54,026

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Solution

The fourth proportional to 98,738, 136,258.44 and 54,026 is: 74,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,738 : 136,258.44 = 54,026 : x
  2. Step 2: Convert to fraction form
    98,738/136,258.44 = 54,026/x
  3. Step 3: Cross multiply
    98,738x = 136,258.44 × 54,026
  4. Step 4: Simplify right side
    98,738x = 7,361,498,479.44
  5. Step 5: Solve for x
    x = 7,361,498,479.44/98,738
  6. Step 6: Final answer
    x = 74,555.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.