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Finding the Fourth Proportional to 198,655.56, 297,851.82 and 78,633

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Solution

The fourth proportional to 198,655.56, 297,851.82 and 78,633 is: 117,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,655.56 : 297,851.82 = 78,633 : x
  2. Step 2: Convert to fraction form
    198,655.56/297,851.82 = 78,633/x
  3. Step 3: Cross multiply
    198,655.56x = 297,851.82 × 78,633
  4. Step 4: Simplify right side
    198,655.56x = 23,420,982,162.06
  5. Step 5: Solve for x
    x = 23,420,982,162.06/198,655.56
  6. Step 6: Final answer
    x = 117,897.44

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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.