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Finding the Fourth Proportional to 193,502.72, 290,246.16 and 53,257.52

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Solution

The fourth proportional to 193,502.72, 290,246.16 and 53,257.52 is: 79,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,502.72 : 290,246.16 = 53,257.52 : x
  2. Step 2: Convert to fraction form
    193,502.72/290,246.16 = 53,257.52/x
  3. Step 3: Cross multiply
    193,502.72x = 290,246.16 × 53,257.52
  4. Step 4: Simplify right side
    193,502.72x = 15,457,790,671.12
  5. Step 5: Solve for x
    x = 15,457,790,671.12/193,502.72
  6. Step 6: Final answer
    x = 79,884.10

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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.