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Finding the Fourth Proportional to 141,163.65, 194,720.24 and 83,765.16

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Solution

The fourth proportional to 141,163.65, 194,720.24 and 83,765.16 is: 115,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,163.65 : 194,720.24 = 83,765.16 : x
  2. Step 2: Convert to fraction form
    141,163.65/194,720.24 = 83,765.16/x
  3. Step 3: Cross multiply
    141,163.65x = 194,720.24 × 83,765.16
  4. Step 4: Simplify right side
    141,163.65x = 16,310,772,268.25
  5. Step 5: Solve for x
    x = 16,310,772,268.25/141,163.65
  6. Step 6: Final answer
    x = 115,545.13

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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.