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Finding the Fourth Proportional to 263,146.47, 394,768.39 and 83,277.16

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Solution

The fourth proportional to 263,146.47, 394,768.39 and 83,277.16 is: 124,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,146.47 : 394,768.39 = 83,277.16 : x
  2. Step 2: Convert to fraction form
    263,146.47/394,768.39 = 83,277.16/x
  3. Step 3: Cross multiply
    263,146.47x = 394,768.39 × 83,277.16
  4. Step 4: Simplify right side
    263,146.47x = 32,875,190,376.97
  5. Step 5: Solve for x
    x = 32,875,190,376.97/263,146.47
  6. Step 6: Final answer
    x = 124,931.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.