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Finding the Fourth Proportional to 185,116.88, 255,461.47 and 100,233.74

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Solution

The fourth proportional to 185,116.88, 255,461.47 and 100,233.74 is: 138,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,116.88 : 255,461.47 = 100,233.74 : x
  2. Step 2: Convert to fraction form
    185,116.88/255,461.47 = 100,233.74/x
  3. Step 3: Cross multiply
    185,116.88x = 255,461.47 × 100,233.74
  4. Step 4: Simplify right side
    185,116.88x = 25,605,857,286.69
  5. Step 5: Solve for x
    x = 25,605,857,286.69/185,116.88
  6. Step 6: Final answer
    x = 138,322.65

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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.