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Finding the Fourth Proportional to 643,442.50, 965,139.52 and 194,151.43

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Solution

The fourth proportional to 643,442.50, 965,139.52 and 194,151.43 is: 291,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,442.50 : 965,139.52 = 194,151.43 : x
  2. Step 2: Convert to fraction form
    643,442.50/965,139.52 = 194,151.43/x
  3. Step 3: Cross multiply
    643,442.50x = 965,139.52 × 194,151.43
  4. Step 4: Simplify right side
    643,442.50x = 187,383,217,957.51
  5. Step 5: Solve for x
    x = 187,383,217,957.51/643,442.50
  6. Step 6: Final answer
    x = 291,219.83

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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.