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Finding the Fourth Proportional to 198,208.46, 297,343.74 and 65,058.50

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Solution

The fourth proportional to 198,208.46, 297,343.74 and 65,058.50 is: 97,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,208.46 : 297,343.74 = 65,058.50 : x
  2. Step 2: Convert to fraction form
    198,208.46/297,343.74 = 65,058.50/x
  3. Step 3: Cross multiply
    198,208.46x = 297,343.74 × 65,058.50
  4. Step 4: Simplify right side
    198,208.46x = 19,344,737,708.79
  5. Step 5: Solve for x
    x = 19,344,737,708.79/198,208.46
  6. Step 6: Final answer
    x = 97,597.94

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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.