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Finding the Fourth Proportional to 185,168.64, 277,695.66 and 66,825

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Solution

The fourth proportional to 185,168.64, 277,695.66 and 66,825 is: 100,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,168.64 : 277,695.66 = 66,825 : x
  2. Step 2: Convert to fraction form
    185,168.64/277,695.66 = 66,825/x
  3. Step 3: Cross multiply
    185,168.64x = 277,695.66 × 66,825
  4. Step 4: Simplify right side
    185,168.64x = 18,557,012,479.50
  5. Step 5: Solve for x
    x = 18,557,012,479.50/185,168.64
  6. Step 6: Final answer
    x = 100,216.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.