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Finding the Fourth Proportional to 194,225.98, 291,268.50 and 67,830.82

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Solution

The fourth proportional to 194,225.98, 291,268.50 and 67,830.82 is: 101,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,225.98 : 291,268.50 = 67,830.82 : x
  2. Step 2: Convert to fraction form
    194,225.98/291,268.50 = 67,830.82/x
  3. Step 3: Cross multiply
    194,225.98x = 291,268.50 × 67,830.82
  4. Step 4: Simplify right side
    194,225.98x = 19,756,981,195.17
  5. Step 5: Solve for x
    x = 19,756,981,195.17/194,225.98
  6. Step 6: Final answer
    x = 101,721.62

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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.