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Finding the Fourth Proportional to 227,858.24, 314,423.16 and 132,363.56

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Solution

The fourth proportional to 227,858.24, 314,423.16 and 132,363.56 is: 182,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,858.24 : 314,423.16 = 132,363.56 : x
  2. Step 2: Convert to fraction form
    227,858.24/314,423.16 = 132,363.56/x
  3. Step 3: Cross multiply
    227,858.24x = 314,423.16 × 132,363.56
  4. Step 4: Simplify right side
    227,858.24x = 41,618,168,804.05
  5. Step 5: Solve for x
    x = 41,618,168,804.05/227,858.24
  6. Step 6: Final answer
    x = 182,649.39

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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.