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Finding the Fourth Proportional to 189,201.38, 261,099.95 and 103,159.67

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Solution

The fourth proportional to 189,201.38, 261,099.95 and 103,159.67 is: 142,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,201.38 : 261,099.95 = 103,159.67 : x
  2. Step 2: Convert to fraction form
    189,201.38/261,099.95 = 103,159.67/x
  3. Step 3: Cross multiply
    189,201.38x = 261,099.95 × 103,159.67
  4. Step 4: Simplify right side
    189,201.38x = 26,934,982,857.72
  5. Step 5: Solve for x
    x = 26,934,982,857.72/189,201.38
  6. Step 6: Final answer
    x = 142,361.45

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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.