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Finding the Fourth Proportional to 107,249.82, 160,928.01 and 48,127.26

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Solution

The fourth proportional to 107,249.82, 160,928.01 and 48,127.26 is: 72,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,249.82 : 160,928.01 = 48,127.26 : x
  2. Step 2: Convert to fraction form
    107,249.82/160,928.01 = 48,127.26/x
  3. Step 3: Cross multiply
    107,249.82x = 160,928.01 × 48,127.26
  4. Step 4: Simplify right side
    107,249.82x = 7,745,024,178.55
  5. Step 5: Solve for x
    x = 7,745,024,178.55/107,249.82
  6. Step 6: Final answer
    x = 72,214.80

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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.