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Finding the Fourth Proportional to 193,251.88, 289,835.70 and 98,381.44

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Solution

The fourth proportional to 193,251.88, 289,835.70 and 98,381.44 is: 147,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,251.88 : 289,835.70 = 98,381.44 : x
  2. Step 2: Convert to fraction form
    193,251.88/289,835.70 = 98,381.44/x
  3. Step 3: Cross multiply
    193,251.88x = 289,835.70 × 98,381.44
  4. Step 4: Simplify right side
    193,251.88x = 28,514,453,529.41
  5. Step 5: Solve for x
    x = 28,514,453,529.41/193,251.88
  6. Step 6: Final answer
    x = 147,550.72

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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.