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Finding the Fourth Proportional to 227,771.87, 314,363.69 and 132,333.95

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Solution

The fourth proportional to 227,771.87, 314,363.69 and 132,333.95 is: 182,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,771.87 : 314,363.69 = 132,333.95 : x
  2. Step 2: Convert to fraction form
    227,771.87/314,363.69 = 132,333.95/x
  3. Step 3: Cross multiply
    227,771.87x = 314,363.69 × 132,333.95
  4. Step 4: Simplify right side
    227,771.87x = 41,600,988,172.61
  5. Step 5: Solve for x
    x = 41,600,988,172.61/227,771.87
  6. Step 6: Final answer
    x = 182,643.22

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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.