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Finding the Fourth Proportional to 181,465.31, 250,422.13 and 101,977.31

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Solution

The fourth proportional to 181,465.31, 250,422.13 and 101,977.31 is: 140,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,465.31 : 250,422.13 = 101,977.31 : x
  2. Step 2: Convert to fraction form
    181,465.31/250,422.13 = 101,977.31/x
  3. Step 3: Cross multiply
    181,465.31x = 250,422.13 × 101,977.31
  4. Step 4: Simplify right side
    181,465.31x = 25,537,375,935.40
  5. Step 5: Solve for x
    x = 25,537,375,935.40/181,465.31
  6. Step 6: Final answer
    x = 140,728.69

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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.