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Finding the Fourth Proportional to 256,857.68, 354,462.60 and 143,680.16

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Solution

The fourth proportional to 256,857.68, 354,462.60 and 143,680.16 is: 198,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.68 : 354,462.60 = 143,680.16 : x
  2. Step 2: Convert to fraction form
    256,857.68/354,462.60 = 143,680.16/x
  3. Step 3: Cross multiply
    256,857.68x = 354,462.60 × 143,680.16
  4. Step 4: Simplify right side
    256,857.68x = 50,929,243,082.02
  5. Step 5: Solve for x
    x = 50,929,243,082.02/256,857.68
  6. Step 6: Final answer
    x = 198,278.06

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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.