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Finding the Fourth Proportional to 109,406.62, 150,989.10 and 61,011.82

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Solution

The fourth proportional to 109,406.62, 150,989.10 and 61,011.82 is: 84,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,406.62 : 150,989.10 = 61,011.82 : x
  2. Step 2: Convert to fraction form
    109,406.62/150,989.10 = 61,011.82/x
  3. Step 3: Cross multiply
    109,406.62x = 150,989.10 × 61,011.82
  4. Step 4: Simplify right side
    109,406.62x = 9,212,119,791.16
  5. Step 5: Solve for x
    x = 9,212,119,791.16/109,406.62
  6. Step 6: Final answer
    x = 84,200.75

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Why These Related Problems?

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