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Finding the Fourth Proportional to 98,978.60, 148,176.30 and 65,736.20

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Solution

The fourth proportional to 98,978.60, 148,176.30 and 65,736.20 is: 98,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,978.60 : 148,176.30 = 65,736.20 : x
  2. Step 2: Convert to fraction form
    98,978.60/148,176.30 = 65,736.20/x
  3. Step 3: Cross multiply
    98,978.60x = 148,176.30 × 65,736.20
  4. Step 4: Simplify right side
    98,978.60x = 9,740,546,892.06
  5. Step 5: Solve for x
    x = 9,740,546,892.06/98,978.60
  6. Step 6: Final answer
    x = 98,410.64

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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.