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Finding the Fourth Proportional to 231,214.75, 346,822.14 and 65,002.75

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Solution

The fourth proportional to 231,214.75, 346,822.14 and 65,002.75 is: 97,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,214.75 : 346,822.14 = 65,002.75 : x
  2. Step 2: Convert to fraction form
    231,214.75/346,822.14 = 65,002.75/x
  3. Step 3: Cross multiply
    231,214.75x = 346,822.14 × 65,002.75
  4. Step 4: Simplify right side
    231,214.75x = 22,544,392,860.89
  5. Step 5: Solve for x
    x = 22,544,392,860.89/231,214.75
  6. Step 6: Final answer
    x = 97,504.13

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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.