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Finding the Fourth Proportional to 256,666.86, 354,243.96 and 149,299.13

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Solution

The fourth proportional to 256,666.86, 354,243.96 and 149,299.13 is: 206,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,666.86 : 354,243.96 = 149,299.13 : x
  2. Step 2: Convert to fraction form
    256,666.86/354,243.96 = 149,299.13/x
  3. Step 3: Cross multiply
    256,666.86x = 354,243.96 × 149,299.13
  4. Step 4: Simplify right side
    256,666.86x = 52,888,313,264.54
  5. Step 5: Solve for x
    x = 52,888,313,264.54/256,666.86
  6. Step 6: Final answer
    x = 206,058.21

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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.