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Finding the Fourth Proportional to 157,214.01, 235,748.27 and 50,578.12

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Solution

The fourth proportional to 157,214.01, 235,748.27 and 50,578.12 is: 75,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,214.01 : 235,748.27 = 50,578.12 : x
  2. Step 2: Convert to fraction form
    157,214.01/235,748.27 = 50,578.12/x
  3. Step 3: Cross multiply
    157,214.01x = 235,748.27 × 50,578.12
  4. Step 4: Simplify right side
    157,214.01x = 11,923,704,710.98
  5. Step 5: Solve for x
    x = 11,923,704,710.98/157,214.01
  6. Step 6: Final answer
    x = 75,843.78

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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.