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Finding the Fourth Proportional to 152,066.69, 209,843.00 and 84,078.32

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Solution

The fourth proportional to 152,066.69, 209,843.00 and 84,078.32 is: 116,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,066.69 : 209,843.00 = 84,078.32 : x
  2. Step 2: Convert to fraction form
    152,066.69/209,843.00 = 84,078.32/x
  3. Step 3: Cross multiply
    152,066.69x = 209,843.00 × 84,078.32
  4. Step 4: Simplify right side
    152,066.69x = 17,643,245,434.15
  5. Step 5: Solve for x
    x = 17,643,245,434.15/152,066.69
  6. Step 6: Final answer
    x = 116,023.08

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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.