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Finding the Fourth Proportional to 185,297.68, 255,710.79 and 100,414.74

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Solution

The fourth proportional to 185,297.68, 255,710.79 and 100,414.74 is: 138,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,297.68 : 255,710.79 = 100,414.74 : x
  2. Step 2: Convert to fraction form
    185,297.68/255,710.79 = 100,414.74/x
  3. Step 3: Cross multiply
    185,297.68x = 255,710.79 × 100,414.74
  4. Step 4: Simplify right side
    185,297.68x = 25,677,132,493.04
  5. Step 5: Solve for x
    x = 25,677,132,493.04/185,297.68
  6. Step 6: Final answer
    x = 138,572.34

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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.