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Finding the Fourth Proportional to 193,360.70, 289,695.45 and 165,712.70

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Solution

The fourth proportional to 193,360.70, 289,695.45 and 165,712.70 is: 248,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,360.70 : 289,695.45 = 165,712.70 : x
  2. Step 2: Convert to fraction form
    193,360.70/289,695.45 = 165,712.70/x
  3. Step 3: Cross multiply
    193,360.70x = 289,695.45 × 165,712.70
  4. Step 4: Simplify right side
    193,360.70x = 48,006,215,197.22
  5. Step 5: Solve for x
    x = 48,006,215,197.22/193,360.70
  6. Step 6: Final answer
    x = 248,272.87

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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.