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Finding the Fourth Proportional to 193,194.87, 289,875.74 and 104,510.81

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Solution

The fourth proportional to 193,194.87, 289,875.74 and 104,510.81 is: 156,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,194.87 : 289,875.74 = 104,510.81 : x
  2. Step 2: Convert to fraction form
    193,194.87/289,875.74 = 104,510.81/x
  3. Step 3: Cross multiply
    193,194.87x = 289,875.74 × 104,510.81
  4. Step 4: Simplify right side
    193,194.87x = 30,295,146,414.82
  5. Step 5: Solve for x
    x = 30,295,146,414.82/193,194.87
  6. Step 6: Final answer
    x = 156,811.34

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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.