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Finding the Fourth Proportional to 193,292.76, 289,869.66 and 66,898.71

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Solution

The fourth proportional to 193,292.76, 289,869.66 and 66,898.71 is: 100,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,292.76 : 289,869.66 = 66,898.71 : x
  2. Step 2: Convert to fraction form
    193,292.76/289,869.66 = 66,898.71/x
  3. Step 3: Cross multiply
    193,292.76x = 289,869.66 × 66,898.71
  4. Step 4: Simplify right side
    193,292.76x = 19,391,906,322.14
  5. Step 5: Solve for x
    x = 19,391,906,322.14/193,292.76
  6. Step 6: Final answer
    x = 100,324.02

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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.