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Finding the Fourth Proportional to 150,111, 207,153.99 and 82,128.78

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Solution

The fourth proportional to 150,111, 207,153.99 and 82,128.78 is: 113,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,111 : 207,153.99 = 82,128.78 : x
  2. Step 2: Convert to fraction form
    150,111/207,153.99 = 82,128.78/x
  3. Step 3: Cross multiply
    150,111x = 207,153.99 × 82,128.78
  4. Step 4: Simplify right side
    150,111x = 17,013,304,470.83
  5. Step 5: Solve for x
    x = 17,013,304,470.83/150,111
  6. Step 6: Final answer
    x = 113,338.16

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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.