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Finding the Fourth Proportional to 185,855.53, 256,493.31 and 105,283.71

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Solution

The fourth proportional to 185,855.53, 256,493.31 and 105,283.71 is: 145,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,855.53 : 256,493.31 = 105,283.71 : x
  2. Step 2: Convert to fraction form
    185,855.53/256,493.31 = 105,283.71/x
  3. Step 3: Cross multiply
    185,855.53x = 256,493.31 × 105,283.71
  4. Step 4: Simplify right side
    185,855.53x = 27,004,567,266.98
  5. Step 5: Solve for x
    x = 27,004,567,266.98/185,855.53
  6. Step 6: Final answer
    x = 145,298.70

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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.