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Finding the Fourth Proportional to 223,467.30, 308,384.82 and 122,865.30

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Solution

The fourth proportional to 223,467.30, 308,384.82 and 122,865.30 is: 169,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,467.30 : 308,384.82 = 122,865.30 : x
  2. Step 2: Convert to fraction form
    223,467.30/308,384.82 = 122,865.30/x
  3. Step 3: Cross multiply
    223,467.30x = 308,384.82 × 122,865.30
  4. Step 4: Simplify right side
    223,467.30x = 37,889,793,424.75
  5. Step 5: Solve for x
    x = 37,889,793,424.75/223,467.30
  6. Step 6: Final answer
    x = 169,554.08

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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.