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Finding the Fourth Proportional to 185,858.53, 256,497.45 and 105,286.71

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Solution

The fourth proportional to 185,858.53, 256,497.45 and 105,286.71 is: 145,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,858.53 : 256,497.45 = 105,286.71 : x
  2. Step 2: Convert to fraction form
    185,858.53/256,497.45 = 105,286.71/x
  3. Step 3: Cross multiply
    185,858.53x = 256,497.45 × 105,286.71
  4. Step 4: Simplify right side
    185,858.53x = 27,005,772,633.89
  5. Step 5: Solve for x
    x = 27,005,772,633.89/185,858.53
  6. Step 6: Final answer
    x = 145,302.84

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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.