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Finding the Fourth Proportional to 100,260.64, 138,353.72 and 54,929.60

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Solution

The fourth proportional to 100,260.64, 138,353.72 and 54,929.60 is: 75,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,260.64 : 138,353.72 = 54,929.60 : x
  2. Step 2: Convert to fraction form
    100,260.64/138,353.72 = 54,929.60/x
  3. Step 3: Cross multiply
    100,260.64x = 138,353.72 × 54,929.60
  4. Step 4: Simplify right side
    100,260.64x = 7,599,714,498.11
  5. Step 5: Solve for x
    x = 7,599,714,498.11/100,260.64
  6. Step 6: Final answer
    x = 75,799.58

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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.