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Finding the Fourth Proportional to 367,418, 551,161.83 and 142,795.75

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Solution

The fourth proportional to 367,418, 551,161.83 and 142,795.75 is: 214,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,418 : 551,161.83 = 142,795.75 : x
  2. Step 2: Convert to fraction form
    367,418/551,161.83 = 142,795.75/x
  3. Step 3: Cross multiply
    367,418x = 551,161.83 × 142,795.75
  4. Step 4: Simplify right side
    367,418x = 78,703,566,886.22
  5. Step 5: Solve for x
    x = 78,703,566,886.22/367,418
  6. Step 6: Final answer
    x = 214,207.16

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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.