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Finding the Fourth Proportional to 98,004.60, 135,322.38 and 75,307.68

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Solution

The fourth proportional to 98,004.60, 135,322.38 and 75,307.68 is: 103,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,004.60 : 135,322.38 = 75,307.68 : x
  2. Step 2: Convert to fraction form
    98,004.60/135,322.38 = 75,307.68/x
  3. Step 3: Cross multiply
    98,004.60x = 135,322.38 × 75,307.68
  4. Step 4: Simplify right side
    98,004.60x = 10,190,814,489.88
  5. Step 5: Solve for x
    x = 10,190,814,489.88/98,004.60
  6. Step 6: Final answer
    x = 103,983.02

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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.