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Finding the Fourth Proportional to 357,112.92, 492,823.26 and 195,958.56

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Solution

The fourth proportional to 357,112.92, 492,823.26 and 195,958.56 is: 270,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,112.92 : 492,823.26 = 195,958.56 : x
  2. Step 2: Convert to fraction form
    357,112.92/492,823.26 = 195,958.56/x
  3. Step 3: Cross multiply
    357,112.92x = 492,823.26 × 195,958.56
  4. Step 4: Simplify right side
    357,112.92x = 96,572,936,364.11
  5. Step 5: Solve for x
    x = 96,572,936,364.11/357,112.92
  6. Step 6: Final answer
    x = 270,426.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.