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Finding the Fourth Proportional to 198,104.94, 297,146.88 and 64,967.67

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Solution

The fourth proportional to 198,104.94, 297,146.88 and 64,967.67 is: 97,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,104.94 : 297,146.88 = 64,967.67 : x
  2. Step 2: Convert to fraction form
    198,104.94/297,146.88 = 64,967.67/x
  3. Step 3: Cross multiply
    198,104.94x = 297,146.88 × 64,967.67
  4. Step 4: Simplify right side
    198,104.94x = 19,304,940,441.37
  5. Step 5: Solve for x
    x = 19,304,940,441.37/198,104.94
  6. Step 6: Final answer
    x = 97,448.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.