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Finding the Fourth Proportional to 367,417.75, 551,161.46 and 142,795.50

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Solution

The fourth proportional to 367,417.75, 551,161.46 and 142,795.50 is: 214,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,417.75 : 551,161.46 = 142,795.50 : x
  2. Step 2: Convert to fraction form
    367,417.75/551,161.46 = 142,795.50/x
  3. Step 3: Cross multiply
    367,417.75x = 551,161.46 × 142,795.50
  4. Step 4: Simplify right side
    367,417.75x = 78,703,376,261.43
  5. Step 5: Solve for x
    x = 78,703,376,261.43/367,417.75
  6. Step 6: Final answer
    x = 214,206.79

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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.