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Finding the Fourth Proportional to 226,830.52, 313,123.08 and 161,461.92

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Solution

The fourth proportional to 226,830.52, 313,123.08 and 161,461.92 is: 222,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,830.52 : 313,123.08 = 161,461.92 : x
  2. Step 2: Convert to fraction form
    226,830.52/313,123.08 = 161,461.92/x
  3. Step 3: Cross multiply
    226,830.52x = 313,123.08 × 161,461.92
  4. Step 4: Simplify right side
    226,830.52x = 50,557,453,693.11
  5. Step 5: Solve for x
    x = 50,557,453,693.11/226,830.52
  6. Step 6: Final answer
    x = 222,886.47

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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.