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Finding the Fourth Proportional to 187,232.40, 280,265.40 and 134,744.40

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Solution

The fourth proportional to 187,232.40, 280,265.40 and 134,744.40 is: 201,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,232.40 : 280,265.40 = 134,744.40 : x
  2. Step 2: Convert to fraction form
    187,232.40/280,265.40 = 134,744.40/x
  3. Step 3: Cross multiply
    187,232.40x = 280,265.40 × 134,744.40
  4. Step 4: Simplify right side
    187,232.40x = 37,764,193,163.76
  5. Step 5: Solve for x
    x = 37,764,193,163.76/187,232.40
  6. Step 6: Final answer
    x = 201,696.89

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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.