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Finding the Fourth Proportional to 199,620.81, 275,476.83 and 114,737.67

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Solution

The fourth proportional to 199,620.81, 275,476.83 and 114,737.67 is: 158,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,620.81 : 275,476.83 = 114,737.67 : x
  2. Step 2: Convert to fraction form
    199,620.81/275,476.83 = 114,737.67/x
  3. Step 3: Cross multiply
    199,620.81x = 275,476.83 × 114,737.67
  4. Step 4: Simplify right side
    199,620.81x = 31,607,569,613.19
  5. Step 5: Solve for x
    x = 31,607,569,613.19/199,620.81
  6. Step 6: Final answer
    x = 158,338.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.