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Finding the Fourth Proportional to 256,499, 353,962.02 and 143,322.68

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Solution

The fourth proportional to 256,499, 353,962.02 and 143,322.68 is: 197,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,499 : 353,962.02 = 143,322.68 : x
  2. Step 2: Convert to fraction form
    256,499/353,962.02 = 143,322.68/x
  3. Step 3: Cross multiply
    256,499x = 353,962.02 × 143,322.68
  4. Step 4: Simplify right side
    256,499x = 50,730,785,324.61
  5. Step 5: Solve for x
    x = 50,730,785,324.61/256,499
  6. Step 6: Final answer
    x = 197,781.61

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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.