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Finding the Fourth Proportional to 256,685.60, 354,083.93 and 149,243.76

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Solution

The fourth proportional to 256,685.60, 354,083.93 and 149,243.76 is: 205,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,685.60 : 354,083.93 = 149,243.76 : x
  2. Step 2: Convert to fraction form
    256,685.60/354,083.93 = 149,243.76/x
  3. Step 3: Cross multiply
    256,685.60x = 354,083.93 × 149,243.76
  4. Step 4: Simplify right side
    256,685.60x = 52,844,816,322.56
  5. Step 5: Solve for x
    x = 52,844,816,322.56/256,685.60
  6. Step 6: Final answer
    x = 205,873.71

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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.