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Finding the Fourth Proportional to 227,867.94, 341,843.45 and 78,123.38

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Solution

The fourth proportional to 227,867.94, 341,843.45 and 78,123.38 is: 117,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,867.94 : 341,843.45 = 78,123.38 : x
  2. Step 2: Convert to fraction form
    227,867.94/341,843.45 = 78,123.38/x
  3. Step 3: Cross multiply
    227,867.94x = 341,843.45 × 78,123.38
  4. Step 4: Simplify right side
    227,867.94x = 26,705,963,645.03
  5. Step 5: Solve for x
    x = 26,705,963,645.03/227,867.94
  6. Step 6: Final answer
    x = 117,199.30

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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.