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Finding the Fourth Proportional to 122,381.28, 183,465 and 47,449.80

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Solution

The fourth proportional to 122,381.28, 183,465 and 47,449.80 is: 71,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,381.28 : 183,465 = 47,449.80 : x
  2. Step 2: Convert to fraction form
    122,381.28/183,465 = 47,449.80/x
  3. Step 3: Cross multiply
    122,381.28x = 183,465 × 47,449.80
  4. Step 4: Simplify right side
    122,381.28x = 8,705,377,557
  5. Step 5: Solve for x
    x = 8,705,377,557/122,381.28
  6. Step 6: Final answer
    x = 71,133.24

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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.