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Finding the Fourth Proportional to 297,220.34, 445,864.34 and 107,769.93

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Solution

The fourth proportional to 297,220.34, 445,864.34 and 107,769.93 is: 161,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,220.34 : 445,864.34 = 107,769.93 : x
  2. Step 2: Convert to fraction form
    297,220.34/445,864.34 = 107,769.93/x
  3. Step 3: Cross multiply
    297,220.34x = 445,864.34 × 107,769.93
  4. Step 4: Simplify right side
    297,220.34x = 48,050,768,711.30
  5. Step 5: Solve for x
    x = 48,050,768,711.30/297,220.34
  6. Step 6: Final answer
    x = 161,667.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.