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Finding the Fourth Proportional to 256,969.98, 354,690.36 and 149,560.74

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Solution

The fourth proportional to 256,969.98, 354,690.36 and 149,560.74 is: 206,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,969.98 : 354,690.36 = 149,560.74 : x
  2. Step 2: Convert to fraction form
    256,969.98/354,690.36 = 149,560.74/x
  3. Step 3: Cross multiply
    256,969.98x = 354,690.36 × 149,560.74
  4. Step 4: Simplify right side
    256,969.98x = 53,047,752,712.47
  5. Step 5: Solve for x
    x = 53,047,752,712.47/256,969.98
  6. Step 6: Final answer
    x = 206,435.60

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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.