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Finding the Fourth Proportional to 185,697.92, 256,256 and 100,813.12

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Solution

The fourth proportional to 185,697.92, 256,256 and 100,813.12 is: 139,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,697.92 : 256,256 = 100,813.12 : x
  2. Step 2: Convert to fraction form
    185,697.92/256,256 = 100,813.12/x
  3. Step 3: Cross multiply
    185,697.92x = 256,256 × 100,813.12
  4. Step 4: Simplify right side
    185,697.92x = 25,833,966,878.72
  5. Step 5: Solve for x
    x = 25,833,966,878.72/185,697.92
  6. Step 6: Final answer
    x = 139,118.24

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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.