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Finding the Fourth Proportional to 98,268.78, 147,410.87 and 35,102.55

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Solution

The fourth proportional to 98,268.78, 147,410.87 and 35,102.55 is: 52,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,268.78 : 147,410.87 = 35,102.55 : x
  2. Step 2: Convert to fraction form
    98,268.78/147,410.87 = 35,102.55/x
  3. Step 3: Cross multiply
    98,268.78x = 147,410.87 × 35,102.55
  4. Step 4: Simplify right side
    98,268.78x = 5,174,497,259.21
  5. Step 5: Solve for x
    x = 5,174,497,259.21/98,268.78
  6. Step 6: Final answer
    x = 52,656.57

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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.