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Finding the Fourth Proportional to 207,542.40, 286,356.48 and 116,880

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Solution

The fourth proportional to 207,542.40, 286,356.48 and 116,880 is: 161,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,542.40 : 286,356.48 = 116,880 : x
  2. Step 2: Convert to fraction form
    207,542.40/286,356.48 = 116,880/x
  3. Step 3: Cross multiply
    207,542.40x = 286,356.48 × 116,880
  4. Step 4: Simplify right side
    207,542.40x = 33,469,345,382.40
  5. Step 5: Solve for x
    x = 33,469,345,382.40/207,542.40
  6. Step 6: Final answer
    x = 161,265.10

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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.