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Finding the Fourth Proportional to 227,038.80, 340,039.80 and 133,726.80

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Solution

The fourth proportional to 227,038.80, 340,039.80 and 133,726.80 is: 200,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,038.80 : 340,039.80 = 133,726.80 : x
  2. Step 2: Convert to fraction form
    227,038.80/340,039.80 = 133,726.80/x
  3. Step 3: Cross multiply
    227,038.80x = 340,039.80 × 133,726.80
  4. Step 4: Simplify right side
    227,038.80x = 45,472,434,326.64
  5. Step 5: Solve for x
    x = 45,472,434,326.64/227,038.80
  6. Step 6: Final answer
    x = 200,284.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.