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Finding the Fourth Proportional to 185,857.53, 256,496.07 and 105,285.71

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Solution

The fourth proportional to 185,857.53, 256,496.07 and 105,285.71 is: 145,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,857.53 : 256,496.07 = 105,285.71 : x
  2. Step 2: Convert to fraction form
    185,857.53/256,496.07 = 105,285.71/x
  3. Step 3: Cross multiply
    185,857.53x = 256,496.07 × 105,285.71
  4. Step 4: Simplify right side
    185,857.53x = 27,005,369,559.68
  5. Step 5: Solve for x
    x = 27,005,369,559.68/185,857.53
  6. Step 6: Final answer
    x = 145,301.46

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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.