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Finding the Fourth Proportional to 152,059.88, 209,843.30 and 84,081.64

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Solution

The fourth proportional to 152,059.88, 209,843.30 and 84,081.64 is: 116,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,059.88 : 209,843.30 = 84,081.64 : x
  2. Step 2: Convert to fraction form
    152,059.88/209,843.30 = 84,081.64/x
  3. Step 3: Cross multiply
    152,059.88x = 209,843.30 × 84,081.64
  4. Step 4: Simplify right side
    152,059.88x = 17,643,968,807.01
  5. Step 5: Solve for x
    x = 17,643,968,807.01/152,059.88
  6. Step 6: Final answer
    x = 116,033.03

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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.