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Finding the Fourth Proportional to 256,407.68, 353,785.77 and 147,505.33

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Solution

The fourth proportional to 256,407.68, 353,785.77 and 147,505.33 is: 203,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,407.68 : 353,785.77 = 147,505.33 : x
  2. Step 2: Convert to fraction form
    256,407.68/353,785.77 = 147,505.33/x
  3. Step 3: Cross multiply
    256,407.68x = 353,785.77 × 147,505.33
  4. Step 4: Simplify right side
    256,407.68x = 52,185,287,195.39
  5. Step 5: Solve for x
    x = 52,185,287,195.39/256,407.68
  6. Step 6: Final answer
    x = 203,524.66

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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.