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Finding the Fourth Proportional to 102,073.88, 153,114.24 and 35,519.60

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Solution

The fourth proportional to 102,073.88, 153,114.24 and 35,519.60 is: 53,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.88 : 153,114.24 = 35,519.60 : x
  2. Step 2: Convert to fraction form
    102,073.88/153,114.24 = 35,519.60/x
  3. Step 3: Cross multiply
    102,073.88x = 153,114.24 × 35,519.60
  4. Step 4: Simplify right side
    102,073.88x = 5,438,556,559.10
  5. Step 5: Solve for x
    x = 5,438,556,559.10/102,073.88
  6. Step 6: Final answer
    x = 53,280.59

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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.