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Finding the Fourth Proportional to 185,996.85, 256,695.72 and 105,415.73

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Solution

The fourth proportional to 185,996.85, 256,695.72 and 105,415.73 is: 145,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,996.85 : 256,695.72 = 105,415.73 : x
  2. Step 2: Convert to fraction form
    185,996.85/256,695.72 = 105,415.73/x
  3. Step 3: Cross multiply
    185,996.85x = 256,695.72 × 105,415.73
  4. Step 4: Simplify right side
    185,996.85x = 27,059,766,434.44
  5. Step 5: Solve for x
    x = 27,059,766,434.44/185,996.85
  6. Step 6: Final answer
    x = 145,485.08

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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.