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Finding the Fourth Proportional to 185,711.92, 256,275.32 and 100,827.12

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Solution

The fourth proportional to 185,711.92, 256,275.32 and 100,827.12 is: 139,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,711.92 : 256,275.32 = 100,827.12 : x
  2. Step 2: Convert to fraction form
    185,711.92/256,275.32 = 100,827.12/x
  3. Step 3: Cross multiply
    185,711.92x = 256,275.32 × 100,827.12
  4. Step 4: Simplify right side
    185,711.92x = 25,839,502,442.68
  5. Step 5: Solve for x
    x = 25,839,502,442.68/185,711.92
  6. Step 6: Final answer
    x = 139,137.55

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1.5x scale

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.