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Finding the Fourth Proportional to 223,951.23, 309,052.71 and 123,349.23

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Solution

The fourth proportional to 223,951.23, 309,052.71 and 123,349.23 is: 170,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,951.23 : 309,052.71 = 123,349.23 : x
  2. Step 2: Convert to fraction form
    223,951.23/309,052.71 = 123,349.23/x
  3. Step 3: Cross multiply
    223,951.23x = 309,052.71 × 123,349.23
  4. Step 4: Simplify right side
    223,951.23x = 38,121,413,807.91
  5. Step 5: Solve for x
    x = 38,121,413,807.91/223,951.23
  6. Step 6: Final answer
    x = 170,221.94

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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.