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Finding the Fourth Proportional to 150,398.38, 207,549.77 and 89,971.57

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Solution

The fourth proportional to 150,398.38, 207,549.77 and 89,971.57 is: 124,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,398.38 : 207,549.77 = 89,971.57 : x
  2. Step 2: Convert to fraction form
    150,398.38/207,549.77 = 89,971.57/x
  3. Step 3: Cross multiply
    150,398.38x = 207,549.77 × 89,971.57
  4. Step 4: Simplify right side
    150,398.38x = 18,673,578,660.04
  5. Step 5: Solve for x
    x = 18,673,578,660.04/150,398.38
  6. Step 6: Final answer
    x = 124,160.77

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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.