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Finding the Fourth Proportional to 101,709.44, 152,566.40 and 71,600.64

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Solution

The fourth proportional to 101,709.44, 152,566.40 and 71,600.64 is: 107,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.44 : 152,566.40 = 71,600.64 : x
  2. Step 2: Convert to fraction form
    101,709.44/152,566.40 = 71,600.64/x
  3. Step 3: Cross multiply
    101,709.44x = 152,566.40 × 71,600.64
  4. Step 4: Simplify right side
    101,709.44x = 10,923,851,882.50
  5. Step 5: Solve for x
    x = 10,923,851,882.50/101,709.44
  6. Step 6: Final answer
    x = 107,402.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.