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Finding the Fourth Proportional to 256,868.49, 354,549.75 and 149,459.28

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Solution

The fourth proportional to 256,868.49, 354,549.75 and 149,459.28 is: 206,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,868.49 : 354,549.75 = 149,459.28 : x
  2. Step 2: Convert to fraction form
    256,868.49/354,549.75 = 149,459.28/x
  3. Step 3: Cross multiply
    256,868.49x = 354,549.75 × 149,459.28
  4. Step 4: Simplify right side
    256,868.49x = 52,990,750,359.18
  5. Step 5: Solve for x
    x = 52,990,750,359.18/256,868.49
  6. Step 6: Final answer
    x = 206,295.25

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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.