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Finding the Fourth Proportional to 193,296.71, 289,875.54 and 66,902.63

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Solution

The fourth proportional to 193,296.71, 289,875.54 and 66,902.63 is: 100,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,296.71 : 289,875.54 = 66,902.63 : x
  2. Step 2: Convert to fraction form
    193,296.71/289,875.54 = 66,902.63/x
  3. Step 3: Cross multiply
    193,296.71x = 289,875.54 × 66,902.63
  4. Step 4: Simplify right side
    193,296.71x = 19,393,434,800.18
  5. Step 5: Solve for x
    x = 19,393,434,800.18/193,296.71
  6. Step 6: Final answer
    x = 100,329.87

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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.