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Finding the Fourth Proportional to 234,697, 352,066.14 and 66,218.62

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Solution

The fourth proportional to 234,697, 352,066.14 and 66,218.62 is: 99,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,697 : 352,066.14 = 66,218.62 : x
  2. Step 2: Convert to fraction form
    234,697/352,066.14 = 66,218.62/x
  3. Step 3: Cross multiply
    234,697x = 352,066.14 × 66,218.62
  4. Step 4: Simplify right side
    234,697x = 23,313,333,939.53
  5. Step 5: Solve for x
    x = 23,313,333,939.53/234,697
  6. Step 6: Final answer
    x = 99,333.75

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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.