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Finding the Fourth Proportional to 97,086.40, 145,629.60 and 65,982.40

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Solution

The fourth proportional to 97,086.40, 145,629.60 and 65,982.40 is: 98,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,086.40 : 145,629.60 = 65,982.40 : x
  2. Step 2: Convert to fraction form
    97,086.40/145,629.60 = 65,982.40/x
  3. Step 3: Cross multiply
    97,086.40x = 145,629.60 × 65,982.40
  4. Step 4: Simplify right side
    97,086.40x = 9,608,990,519.04
  5. Step 5: Solve for x
    x = 9,608,990,519.04/97,086.40
  6. Step 6: Final answer
    x = 98,973.60

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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.