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Finding the Fourth Proportional to 283,522.84, 425,323.14 and 83,858.92

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Solution

The fourth proportional to 283,522.84, 425,323.14 and 83,858.92 is: 125,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,522.84 : 425,323.14 = 83,858.92 : x
  2. Step 2: Convert to fraction form
    283,522.84/425,323.14 = 83,858.92/x
  3. Step 3: Cross multiply
    283,522.84x = 425,323.14 × 83,858.92
  4. Step 4: Simplify right side
    283,522.84x = 35,667,139,171.41
  5. Step 5: Solve for x
    x = 35,667,139,171.41/283,522.84
  6. Step 6: Final answer
    x = 125,799.88

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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.