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Finding the Fourth Proportional to 193,034.60, 289,566.30 and 68,359.40

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Solution

The fourth proportional to 193,034.60, 289,566.30 and 68,359.40 is: 102,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,034.60 : 289,566.30 = 68,359.40 : x
  2. Step 2: Convert to fraction form
    193,034.60/289,566.30 = 68,359.40/x
  3. Step 3: Cross multiply
    193,034.60x = 289,566.30 × 68,359.40
  4. Step 4: Simplify right side
    193,034.60x = 19,794,578,528.22
  5. Step 5: Solve for x
    x = 19,794,578,528.22/193,034.60
  6. Step 6: Final answer
    x = 102,544.20

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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.