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Finding the Fourth Proportional to 152,004.24, 209,761.56 and 84,936.24

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Solution

The fourth proportional to 152,004.24, 209,761.56 and 84,936.24 is: 117,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,004.24 : 209,761.56 = 84,936.24 : x
  2. Step 2: Convert to fraction form
    152,004.24/209,761.56 = 84,936.24/x
  3. Step 3: Cross multiply
    152,004.24x = 209,761.56 × 84,936.24
  4. Step 4: Simplify right side
    152,004.24x = 17,816,358,202.93
  5. Step 5: Solve for x
    x = 17,816,358,202.93/152,004.24
  6. Step 6: Final answer
    x = 117,209.61

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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.