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Finding the Fourth Proportional to 367,802.70, 551,704.05 and 146,186.70

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Solution

The fourth proportional to 367,802.70, 551,704.05 and 146,186.70 is: 219,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,802.70 : 551,704.05 = 146,186.70 : x
  2. Step 2: Convert to fraction form
    367,802.70/551,704.05 = 146,186.70/x
  3. Step 3: Cross multiply
    367,802.70x = 551,704.05 × 146,186.70
  4. Step 4: Simplify right side
    367,802.70x = 80,651,794,446.14
  5. Step 5: Solve for x
    x = 80,651,794,446.14/367,802.70
  6. Step 6: Final answer
    x = 219,280.05

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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.