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Finding the Fourth Proportional to 223,378.92, 308,262.89 and 121,404.61

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Solution

The fourth proportional to 223,378.92, 308,262.89 and 121,404.61 is: 167,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,378.92 : 308,262.89 = 121,404.61 : x
  2. Step 2: Convert to fraction form
    223,378.92/308,262.89 = 121,404.61/x
  3. Step 3: Cross multiply
    223,378.92x = 308,262.89 × 121,404.61
  4. Step 4: Simplify right side
    223,378.92x = 37,424,535,937.92
  5. Step 5: Solve for x
    x = 37,424,535,937.92/223,378.92
  6. Step 6: Final answer
    x = 167,538.35

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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.