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Finding the Fourth Proportional to 256,006.14, 353,287.89 and 148,639.02

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Solution

The fourth proportional to 256,006.14, 353,287.89 and 148,639.02 is: 205,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006.14 : 353,287.89 = 148,639.02 : x
  2. Step 2: Convert to fraction form
    256,006.14/353,287.89 = 148,639.02/x
  3. Step 3: Cross multiply
    256,006.14x = 353,287.89 × 148,639.02
  4. Step 4: Simplify right side
    256,006.14x = 52,512,365,747.47
  5. Step 5: Solve for x
    x = 52,512,365,747.47/256,006.14
  6. Step 6: Final answer
    x = 205,121.51

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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.