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Finding the Fourth Proportional to 181,565.50, 250,560.39 and 102,077.50

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Solution

The fourth proportional to 181,565.50, 250,560.39 and 102,077.50 is: 140,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,565.50 : 250,560.39 = 102,077.50 : x
  2. Step 2: Convert to fraction form
    181,565.50/250,560.39 = 102,077.50/x
  3. Step 3: Cross multiply
    181,565.50x = 250,560.39 × 102,077.50
  4. Step 4: Simplify right side
    181,565.50x = 25,576,578,210.23
  5. Step 5: Solve for x
    x = 25,576,578,210.23/181,565.50
  6. Step 6: Final answer
    x = 140,866.95

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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.