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Finding the Fourth Proportional to 227,710.43, 314,329.01 and 203,795.57

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Solution

The fourth proportional to 227,710.43, 314,329.01 and 203,795.57 is: 281,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,710.43 : 314,329.01 = 203,795.57 : x
  2. Step 2: Convert to fraction form
    227,710.43/314,329.01 = 203,795.57/x
  3. Step 3: Cross multiply
    227,710.43x = 314,329.01 × 203,795.57
  4. Step 4: Simplify right side
    227,710.43x = 64,058,859,760.49
  5. Step 5: Solve for x
    x = 64,058,859,760.49/227,710.43
  6. Step 6: Final answer
    x = 281,317.20

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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.