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Finding the Fourth Proportional to 193,244.80, 289,996.80 and 114,275.20

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Solution

The fourth proportional to 193,244.80, 289,996.80 and 114,275.20 is: 171,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,244.80 : 289,996.80 = 114,275.20 : x
  2. Step 2: Convert to fraction form
    193,244.80/289,996.80 = 114,275.20/x
  3. Step 3: Cross multiply
    193,244.80x = 289,996.80 × 114,275.20
  4. Step 4: Simplify right side
    193,244.80x = 33,139,442,319.36
  5. Step 5: Solve for x
    x = 33,139,442,319.36/193,244.80
  6. Step 6: Final answer
    x = 171,489.44

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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.