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Finding the Fourth Proportional to 150,572.29, 207,786.19 and 82,588.66

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Solution

The fourth proportional to 150,572.29, 207,786.19 and 82,588.66 is: 113,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,572.29 : 207,786.19 = 82,588.66 : x
  2. Step 2: Convert to fraction form
    150,572.29/207,786.19 = 82,588.66/x
  3. Step 3: Cross multiply
    150,572.29x = 207,786.19 × 82,588.66
  4. Step 4: Simplify right side
    150,572.29x = 17,160,783,364.04
  5. Step 5: Solve for x
    x = 17,160,783,364.04/150,572.29
  6. Step 6: Final answer
    x = 113,970.39

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