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Finding the Fourth Proportional to 185,825.58, 256,444.08 and 105,251.94

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Solution

The fourth proportional to 185,825.58, 256,444.08 and 105,251.94 is: 145,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,825.58 : 256,444.08 = 105,251.94 : x
  2. Step 2: Convert to fraction form
    185,825.58/256,444.08 = 105,251.94/x
  3. Step 3: Cross multiply
    185,825.58x = 256,444.08 × 105,251.94
  4. Step 4: Simplify right side
    185,825.58x = 26,991,236,921.52
  5. Step 5: Solve for x
    x = 26,991,236,921.52/185,825.58
  6. Step 6: Final answer
    x = 145,250.38

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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.