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Finding the Fourth Proportional to 207,546.10, 310,943.71 and 95,320.20

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Solution

The fourth proportional to 207,546.10, 310,943.71 and 95,320.20 is: 142,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,546.10 : 310,943.71 = 95,320.20 : x
  2. Step 2: Convert to fraction form
    207,546.10/310,943.71 = 95,320.20/x
  3. Step 3: Cross multiply
    207,546.10x = 310,943.71 × 95,320.20
  4. Step 4: Simplify right side
    207,546.10x = 29,639,216,625.94
  5. Step 5: Solve for x
    x = 29,639,216,625.94/207,546.10
  6. Step 6: Final answer
    x = 142,807.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.