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Finding the Fourth Proportional to 98,729.60, 148,094.40 and 87,843.20

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Solution

The fourth proportional to 98,729.60, 148,094.40 and 87,843.20 is: 131,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,729.60 : 148,094.40 = 87,843.20 : x
  2. Step 2: Convert to fraction form
    98,729.60/148,094.40 = 87,843.20/x
  3. Step 3: Cross multiply
    98,729.60x = 148,094.40 × 87,843.20
  4. Step 4: Simplify right side
    98,729.60x = 13,009,085,998.08
  5. Step 5: Solve for x
    x = 13,009,085,998.08/98,729.60
  6. Step 6: Final answer
    x = 131,764.80

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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.