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Finding the Fourth Proportional to 199,617.81, 275,472.69 and 114,734.67

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Solution

The fourth proportional to 199,617.81, 275,472.69 and 114,734.67 is: 158,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617.81 : 275,472.69 = 114,734.67 : x
  2. Step 2: Convert to fraction form
    199,617.81/275,472.69 = 114,734.67/x
  3. Step 3: Cross multiply
    199,617.81x = 275,472.69 × 114,734.67
  4. Step 4: Simplify right side
    199,617.81x = 31,606,268,181.16
  5. Step 5: Solve for x
    x = 31,606,268,181.16/199,617.81
  6. Step 6: Final answer
    x = 158,333.91

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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.