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Finding the Fourth Proportional to 690,753, 1,036,187.82 and 192,117

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Solution

The fourth proportional to 690,753, 1,036,187.82 and 192,117 is: 288,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,753 : 1,036,187.82 = 192,117 : x
  2. Step 2: Convert to fraction form
    690,753/1,036,187.82 = 192,117/x
  3. Step 3: Cross multiply
    690,753x = 1,036,187.82 × 192,117
  4. Step 4: Simplify right side
    690,753x = 199,069,295,414.94
  5. Step 5: Solve for x
    x = 199,069,295,414.94/690,753
  6. Step 6: Final answer
    x = 288,191.72

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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.