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Finding the Fourth Proportional to 193,211.64, 289,818.60 and 87,957

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Solution

The fourth proportional to 193,211.64, 289,818.60 and 87,957 is: 131,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,211.64 : 289,818.60 = 87,957 : x
  2. Step 2: Convert to fraction form
    193,211.64/289,818.60 = 87,957/x
  3. Step 3: Cross multiply
    193,211.64x = 289,818.60 × 87,957
  4. Step 4: Simplify right side
    193,211.64x = 25,491,574,600.20
  5. Step 5: Solve for x
    x = 25,491,574,600.20/193,211.64
  6. Step 6: Final answer
    x = 131,936.02

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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.