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Finding the Fourth Proportional to 189,838.87, 261,902.30 and 109,223.01

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Solution

The fourth proportional to 189,838.87, 261,902.30 and 109,223.01 is: 150,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,838.87 : 261,902.30 = 109,223.01 : x
  2. Step 2: Convert to fraction form
    189,838.87/261,902.30 = 109,223.01/x
  3. Step 3: Cross multiply
    189,838.87x = 261,902.30 × 109,223.01
  4. Step 4: Simplify right side
    189,838.87x = 28,605,756,985.81
  5. Step 5: Solve for x
    x = 28,605,756,985.81/189,838.87
  6. Step 6: Final answer
    x = 150,684.41

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