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Finding the Fourth Proportional to 230,814.30, 346,221.45 and 191,934.30

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Solution

The fourth proportional to 230,814.30, 346,221.45 and 191,934.30 is: 287,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,814.30 : 346,221.45 = 191,934.30 : x
  2. Step 2: Convert to fraction form
    230,814.30/346,221.45 = 191,934.30/x
  3. Step 3: Cross multiply
    230,814.30x = 346,221.45 × 191,934.30
  4. Step 4: Simplify right side
    230,814.30x = 66,451,771,650.74
  5. Step 5: Solve for x
    x = 66,451,771,650.74/230,814.30
  6. Step 6: Final answer
    x = 287,901.45

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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.