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Finding the Fourth Proportional to 227,263.93, 313,622.09 and 123,898.11

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Solution

The fourth proportional to 227,263.93, 313,622.09 and 123,898.11 is: 170,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,263.93 : 313,622.09 = 123,898.11 : x
  2. Step 2: Convert to fraction form
    227,263.93/313,622.09 = 123,898.11/x
  3. Step 3: Cross multiply
    227,263.93x = 313,622.09 × 123,898.11
  4. Step 4: Simplify right side
    227,263.93x = 38,857,184,205.25
  5. Step 5: Solve for x
    x = 38,857,184,205.25/227,263.93
  6. Step 6: Final answer
    x = 170,978.23

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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.