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Finding the Fourth Proportional to 283,653.86, 425,570 and 83,976

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Solution

The fourth proportional to 283,653.86, 425,570 and 83,976 is: 125,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,653.86 : 425,570 = 83,976 : x
  2. Step 2: Convert to fraction form
    283,653.86/425,570 = 83,976/x
  3. Step 3: Cross multiply
    283,653.86x = 425,570 × 83,976
  4. Step 4: Simplify right side
    283,653.86x = 35,737,666,320
  5. Step 5: Solve for x
    x = 35,737,666,320/283,653.86
  6. Step 6: Final answer
    x = 125,990.41

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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.