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Finding the Fourth Proportional to 217,009.10, 299,463.80 and 126,367.68

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Solution

The fourth proportional to 217,009.10, 299,463.80 and 126,367.68 is: 174,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,009.10 : 299,463.80 = 126,367.68 : x
  2. Step 2: Convert to fraction form
    217,009.10/299,463.80 = 126,367.68/x
  3. Step 3: Cross multiply
    217,009.10x = 299,463.80 × 126,367.68
  4. Step 4: Simplify right side
    217,009.10x = 37,842,545,649.98
  5. Step 5: Solve for x
    x = 37,842,545,649.98/217,009.10
  6. Step 6: Final answer
    x = 174,382.30

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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.