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Finding the Fourth Proportional to 294,282, 406,081.08 and 165,190.92

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Solution

The fourth proportional to 294,282, 406,081.08 and 165,190.92 is: 227,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,282 : 406,081.08 = 165,190.92 : x
  2. Step 2: Convert to fraction form
    294,282/406,081.08 = 165,190.92/x
  3. Step 3: Cross multiply
    294,282x = 406,081.08 × 165,190.92
  4. Step 4: Simplify right side
    294,282x = 67,080,907,199.79
  5. Step 5: Solve for x
    x = 67,080,907,199.79/294,282
  6. Step 6: Final answer
    x = 227,947.71

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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.