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Finding the Fourth Proportional to 193,095.38, 289,711.11 and 86,470.62

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Solution

The fourth proportional to 193,095.38, 289,711.11 and 86,470.62 is: 129,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,095.38 : 289,711.11 = 86,470.62 : x
  2. Step 2: Convert to fraction form
    193,095.38/289,711.11 = 86,470.62/x
  3. Step 3: Cross multiply
    193,095.38x = 289,711.11 × 86,470.62
  4. Step 4: Simplify right side
    193,095.38x = 25,051,499,302.59
  5. Step 5: Solve for x
    x = 25,051,499,302.59/193,095.38
  6. Step 6: Final answer
    x = 129,736.40

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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.