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Finding the Fourth Proportional to 121,703.28, 182,566.44 and 47,814

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Solution

The fourth proportional to 121,703.28, 182,566.44 and 47,814 is: 71,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,703.28 : 182,566.44 = 47,814 : x
  2. Step 2: Convert to fraction form
    121,703.28/182,566.44 = 47,814/x
  3. Step 3: Cross multiply
    121,703.28x = 182,566.44 × 47,814
  4. Step 4: Simplify right side
    121,703.28x = 8,729,231,762.16
  5. Step 5: Solve for x
    x = 8,729,231,762.16/121,703.28
  6. Step 6: Final answer
    x = 71,725.53

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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.