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Finding the Fourth Proportional to 135,232.30, 202,867.65 and 41,728.30

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Solution

The fourth proportional to 135,232.30, 202,867.65 and 41,728.30 is: 62,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,232.30 : 202,867.65 = 41,728.30 : x
  2. Step 2: Convert to fraction form
    135,232.30/202,867.65 = 41,728.30/x
  3. Step 3: Cross multiply
    135,232.30x = 202,867.65 × 41,728.30
  4. Step 4: Simplify right side
    135,232.30x = 8,465,322,159.50
  5. Step 5: Solve for x
    x = 8,465,322,159.50/135,232.30
  6. Step 6: Final answer
    x = 62,598.37

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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.