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Finding the Fourth Proportional to 233,847.27, 322,709.13 and 126,417.38

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Solution

The fourth proportional to 233,847.27, 322,709.13 and 126,417.38 is: 174,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,847.27 : 322,709.13 = 126,417.38 : x
  2. Step 2: Convert to fraction form
    233,847.27/322,709.13 = 126,417.38/x
  3. Step 3: Cross multiply
    233,847.27x = 322,709.13 × 126,417.38
  4. Step 4: Simplify right side
    233,847.27x = 40,796,041,103.13
  5. Step 5: Solve for x
    x = 40,796,041,103.13/233,847.27
  6. Step 6: Final answer
    x = 174,455.92

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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.