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Finding the Fourth Proportional to 181,568.25, 250,564.19 and 102,080.25

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Solution

The fourth proportional to 181,568.25, 250,564.19 and 102,080.25 is: 140,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,568.25 : 250,564.19 = 102,080.25 : x
  2. Step 2: Convert to fraction form
    181,568.25/250,564.19 = 102,080.25/x
  3. Step 3: Cross multiply
    181,568.25x = 250,564.19 × 102,080.25
  4. Step 4: Simplify right side
    181,568.25x = 25,577,655,156.25
  5. Step 5: Solve for x
    x = 25,577,655,156.25/181,568.25
  6. Step 6: Final answer
    x = 140,870.75

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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.