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Finding the Fourth Proportional to 231,930.60, 346,859.10 and 194,605.80

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Solution

The fourth proportional to 231,930.60, 346,859.10 and 194,605.80 is: 291,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,930.60 : 346,859.10 = 194,605.80 : x
  2. Step 2: Convert to fraction form
    231,930.60/346,859.10 = 194,605.80/x
  3. Step 3: Cross multiply
    231,930.60x = 346,859.10 × 194,605.80
  4. Step 4: Simplify right side
    231,930.60x = 67,500,792,642.78
  5. Step 5: Solve for x
    x = 67,500,792,642.78/231,930.60
  6. Step 6: Final answer
    x = 291,038.75

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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.