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Finding the Fourth Proportional to 214,614.48, 322,133.70 and 161,120.46

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Solution

The fourth proportional to 214,614.48, 322,133.70 and 161,120.46 is: 241,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,614.48 : 322,133.70 = 161,120.46 : x
  2. Step 2: Convert to fraction form
    214,614.48/322,133.70 = 161,120.46/x
  3. Step 3: Cross multiply
    214,614.48x = 322,133.70 × 161,120.46
  4. Step 4: Simplify right side
    214,614.48x = 51,902,329,925.50
  5. Step 5: Solve for x
    x = 51,902,329,925.50/214,614.48
  6. Step 6: Final answer
    x = 241,839.83

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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.