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Finding the Fourth Proportional to 256,809.60, 354,316.80 and 149,356.80

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Solution

The fourth proportional to 256,809.60, 354,316.80 and 149,356.80 is: 206,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,809.60 : 354,316.80 = 149,356.80 : x
  2. Step 2: Convert to fraction form
    256,809.60/354,316.80 = 149,356.80/x
  3. Step 3: Cross multiply
    256,809.60x = 354,316.80 × 149,356.80
  4. Step 4: Simplify right side
    256,809.60x = 52,919,623,434.24
  5. Step 5: Solve for x
    x = 52,919,623,434.24/256,809.60
  6. Step 6: Final answer
    x = 206,065.60

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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.