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Finding the Fourth Proportional to 231,209.40, 346,814.10 and 148,265.40

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Solution

The fourth proportional to 231,209.40, 346,814.10 and 148,265.40 is: 222,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,209.40 : 346,814.10 = 148,265.40 : x
  2. Step 2: Convert to fraction form
    231,209.40/346,814.10 = 148,265.40/x
  3. Step 3: Cross multiply
    231,209.40x = 346,814.10 × 148,265.40
  4. Step 4: Simplify right side
    231,209.40x = 51,420,531,262.14
  5. Step 5: Solve for x
    x = 51,420,531,262.14/231,209.40
  6. Step 6: Final answer
    x = 222,398.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.