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Finding the Fourth Proportional to 152,065.40, 209,841.77 and 84,078.28

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Solution

The fourth proportional to 152,065.40, 209,841.77 and 84,078.28 is: 116,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,065.40 : 209,841.77 = 84,078.28 : x
  2. Step 2: Convert to fraction form
    152,065.40/209,841.77 = 84,078.28/x
  3. Step 3: Cross multiply
    152,065.40x = 209,841.77 × 84,078.28
  4. Step 4: Simplify right side
    152,065.40x = 17,643,135,093.76
  5. Step 5: Solve for x
    x = 17,643,135,093.76/152,065.40
  6. Step 6: Final answer
    x = 116,023.34

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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.