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Finding the Fourth Proportional to 193,358.28, 290,025.72 and 114,971.40

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Solution

The fourth proportional to 193,358.28, 290,025.72 and 114,971.40 is: 172,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,358.28 : 290,025.72 = 114,971.40 : x
  2. Step 2: Convert to fraction form
    193,358.28/290,025.72 = 114,971.40/x
  3. Step 3: Cross multiply
    193,358.28x = 290,025.72 × 114,971.40
  4. Step 4: Simplify right side
    193,358.28x = 33,344,663,064.41
  5. Step 5: Solve for x
    x = 33,344,663,064.41/193,358.28
  6. Step 6: Final answer
    x = 172,450.14

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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.