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Finding the Fourth Proportional to 185,819.94, 256,315.86 and 154,695.78

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Solution

The fourth proportional to 185,819.94, 256,315.86 and 154,695.78 is: 213,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,819.94 : 256,315.86 = 154,695.78 : x
  2. Step 2: Convert to fraction form
    185,819.94/256,315.86 = 154,695.78/x
  3. Step 3: Cross multiply
    185,819.94x = 256,315.86 × 154,695.78
  4. Step 4: Simplify right side
    185,819.94x = 39,650,981,889.07
  5. Step 5: Solve for x
    x = 39,650,981,889.07/185,819.94
  6. Step 6: Final answer
    x = 213,383.89

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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.