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Finding the Fourth Proportional to 150,267.25, 207,369.12 and 81,357.40

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Solution

The fourth proportional to 150,267.25, 207,369.12 and 81,357.40 is: 112,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,267.25 : 207,369.12 = 81,357.40 : x
  2. Step 2: Convert to fraction form
    150,267.25/207,369.12 = 81,357.40/x
  3. Step 3: Cross multiply
    150,267.25x = 207,369.12 × 81,357.40
  4. Step 4: Simplify right side
    150,267.25x = 16,871,012,443.49
  5. Step 5: Solve for x
    x = 16,871,012,443.49/150,267.25
  6. Step 6: Final answer
    x = 112,273.38

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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.