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Finding the Fourth Proportional to 152,067.24, 209,844.24 and 84,080.16

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Solution

The fourth proportional to 152,067.24, 209,844.24 and 84,080.16 is: 116,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,067.24 : 209,844.24 = 84,080.16 : x
  2. Step 2: Convert to fraction form
    152,067.24/209,844.24 = 84,080.16/x
  3. Step 3: Cross multiply
    152,067.24x = 209,844.24 × 84,080.16
  4. Step 4: Simplify right side
    152,067.24x = 17,643,737,274.28
  5. Step 5: Solve for x
    x = 17,643,737,274.28/152,067.24
  6. Step 6: Final answer
    x = 116,025.89

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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.