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Finding the Fourth Proportional to 189,573.87, 284,448.71 and 82,943.76

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Solution

The fourth proportional to 189,573.87, 284,448.71 and 82,943.76 is: 124,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,573.87 : 284,448.71 = 82,943.76 : x
  2. Step 2: Convert to fraction form
    189,573.87/284,448.71 = 82,943.76/x
  3. Step 3: Cross multiply
    189,573.87x = 284,448.71 × 82,943.76
  4. Step 4: Simplify right side
    189,573.87x = 23,593,246,808.59
  5. Step 5: Solve for x
    x = 23,593,246,808.59/189,573.87
  6. Step 6: Final answer
    x = 124,454.11

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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.