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Finding the Fourth Proportional to 198,402.57, 297,622.76 and 65,283.93

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Solution

The fourth proportional to 198,402.57, 297,622.76 and 65,283.93 is: 97,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,402.57 : 297,622.76 = 65,283.93 : x
  2. Step 2: Convert to fraction form
    198,402.57/297,622.76 = 65,283.93/x
  3. Step 3: Cross multiply
    198,402.57x = 297,622.76 × 65,283.93
  4. Step 4: Simplify right side
    198,402.57x = 19,429,983,103.83
  5. Step 5: Solve for x
    x = 19,429,983,103.83/198,402.57
  6. Step 6: Final answer
    x = 97,932.11

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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.