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Finding the Fourth Proportional to 223,651.98, 308,387.79 and 163,115.82

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Solution

The fourth proportional to 223,651.98, 308,387.79 and 163,115.82 is: 224,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,651.98 : 308,387.79 = 163,115.82 : x
  2. Step 2: Convert to fraction form
    223,651.98/308,387.79 = 163,115.82/x
  3. Step 3: Cross multiply
    223,651.98x = 308,387.79 × 163,115.82
  4. Step 4: Simplify right side
    223,651.98x = 50,302,927,243.84
  5. Step 5: Solve for x
    x = 50,302,927,243.84/223,651.98
  6. Step 6: Final answer
    x = 224,916.08

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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.