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Finding the Fourth Proportional to 151,943.96, 209,648.99 and 87,409.24

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Solution

The fourth proportional to 151,943.96, 209,648.99 and 87,409.24 is: 120,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,943.96 : 209,648.99 = 87,409.24 : x
  2. Step 2: Convert to fraction form
    151,943.96/209,648.99 = 87,409.24/x
  3. Step 3: Cross multiply
    151,943.96x = 209,648.99 × 87,409.24
  4. Step 4: Simplify right side
    151,943.96x = 18,325,257,397.38
  5. Step 5: Solve for x
    x = 18,325,257,397.38/151,943.96
  6. Step 6: Final answer
    x = 120,605.37

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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.