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Finding the Fourth Proportional to 256,256.46, 353,655.78 and 143,101.08

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Solution

The fourth proportional to 256,256.46, 353,655.78 and 143,101.08 is: 197,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,256.46 : 353,655.78 = 143,101.08 : x
  2. Step 2: Convert to fraction form
    256,256.46/353,655.78 = 143,101.08/x
  3. Step 3: Cross multiply
    256,256.46x = 353,655.78 × 143,101.08
  4. Step 4: Simplify right side
    256,256.46x = 50,608,524,066.24
  5. Step 5: Solve for x
    x = 50,608,524,066.24/256,256.46
  6. Step 6: Final answer
    x = 197,491.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.