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Finding the Fourth Proportional to 283,652.86, 425,568.50 and 83,975

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Solution

The fourth proportional to 283,652.86, 425,568.50 and 83,975 is: 125,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,652.86 : 425,568.50 = 83,975 : x
  2. Step 2: Convert to fraction form
    283,652.86/425,568.50 = 83,975/x
  3. Step 3: Cross multiply
    283,652.86x = 425,568.50 × 83,975
  4. Step 4: Simplify right side
    283,652.86x = 35,737,114,787.50
  5. Step 5: Solve for x
    x = 35,737,114,787.50/283,652.86
  6. Step 6: Final answer
    x = 125,988.91

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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.