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Finding the Fourth Proportional to 193,956.59, 290,931.98 and 87,265.22

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Solution

The fourth proportional to 193,956.59, 290,931.98 and 87,265.22 is: 130,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,956.59 : 290,931.98 = 87,265.22 : x
  2. Step 2: Convert to fraction form
    193,956.59/290,931.98 = 87,265.22/x
  3. Step 3: Cross multiply
    193,956.59x = 290,931.98 × 87,265.22
  4. Step 4: Simplify right side
    193,956.59x = 25,388,241,348.75
  5. Step 5: Solve for x
    x = 25,388,241,348.75/193,956.59
  6. Step 6: Final answer
    x = 130,896.51

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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.