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Finding the Fourth Proportional to 181,570.75, 250,567.64 and 102,082.75

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Solution

The fourth proportional to 181,570.75, 250,567.64 and 102,082.75 is: 140,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,570.75 : 250,567.64 = 102,082.75 : x
  2. Step 2: Convert to fraction form
    181,570.75/250,567.64 = 102,082.75/x
  3. Step 3: Cross multiply
    181,570.75x = 250,567.64 × 102,082.75
  4. Step 4: Simplify right side
    181,570.75x = 25,578,633,752.21
  5. Step 5: Solve for x
    x = 25,578,633,752.21/181,570.75
  6. Step 6: Final answer
    x = 140,874.20

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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.