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Finding the Fourth Proportional to 121,705.28, 182,569.44 and 47,816

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Solution

The fourth proportional to 121,705.28, 182,569.44 and 47,816 is: 71,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,705.28 : 182,569.44 = 47,816 : x
  2. Step 2: Convert to fraction form
    121,705.28/182,569.44 = 47,816/x
  3. Step 3: Cross multiply
    121,705.28x = 182,569.44 × 47,816
  4. Step 4: Simplify right side
    121,705.28x = 8,729,740,343.04
  5. Step 5: Solve for x
    x = 8,729,740,343.04/121,705.28
  6. Step 6: Final answer
    x = 71,728.53

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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.