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Finding the Fourth Proportional to 185,866.92, 256,495.68 and 100,983.24

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Solution

The fourth proportional to 185,866.92, 256,495.68 and 100,983.24 is: 139,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,866.92 : 256,495.68 = 100,983.24 : x
  2. Step 2: Convert to fraction form
    185,866.92/256,495.68 = 100,983.24/x
  3. Step 3: Cross multiply
    185,866.92x = 256,495.68 × 100,983.24
  4. Step 4: Simplify right side
    185,866.92x = 25,901,764,812.40
  5. Step 5: Solve for x
    x = 25,901,764,812.40/185,866.92
  6. Step 6: Final answer
    x = 139,356.51

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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.