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Finding the Fourth Proportional to 357,126.96, 492,810.91 and 195,992.38

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Solution

The fourth proportional to 357,126.96, 492,810.91 and 195,992.38 is: 270,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,126.96 : 492,810.91 = 195,992.38 : x
  2. Step 2: Convert to fraction form
    357,126.96/492,810.91 = 195,992.38/x
  3. Step 3: Cross multiply
    357,126.96x = 492,810.91 × 195,992.38
  4. Step 4: Simplify right side
    357,126.96x = 96,587,183,140.87
  5. Step 5: Solve for x
    x = 96,587,183,140.87/357,126.96
  6. Step 6: Final answer
    x = 270,456.15

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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.