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Finding the Fourth Proportional to 256,126.02, 353,453.85 and 148,716.42

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Solution

The fourth proportional to 256,126.02, 353,453.85 and 148,716.42 is: 205,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,126.02 : 353,453.85 = 148,716.42 : x
  2. Step 2: Convert to fraction form
    256,126.02/353,453.85 = 148,716.42/x
  3. Step 3: Cross multiply
    256,126.02x = 353,453.85 × 148,716.42
  4. Step 4: Simplify right side
    256,126.02x = 52,564,391,207.22
  5. Step 5: Solve for x
    x = 52,564,391,207.22/256,126.02
  6. Step 6: Final answer
    x = 205,228.63

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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.