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Finding the Fourth Proportional to 107,446.53, 148,122.23 and 75,516.33

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Solution

The fourth proportional to 107,446.53, 148,122.23 and 75,516.33 is: 104,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,446.53 : 148,122.23 = 75,516.33 : x
  2. Step 2: Convert to fraction form
    107,446.53/148,122.23 = 75,516.33/x
  3. Step 3: Cross multiply
    107,446.53x = 148,122.23 × 75,516.33
  4. Step 4: Simplify right side
    107,446.53x = 11,185,646,823.43
  5. Step 5: Solve for x
    x = 11,185,646,823.43/107,446.53
  6. Step 6: Final answer
    x = 104,104.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.