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Finding the Fourth Proportional to 152,072.39, 209,857.71 and 84,087.87

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Solution

The fourth proportional to 152,072.39, 209,857.71 and 84,087.87 is: 116,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,072.39 : 209,857.71 = 84,087.87 : x
  2. Step 2: Convert to fraction form
    152,072.39/209,857.71 = 84,087.87/x
  3. Step 3: Cross multiply
    152,072.39x = 209,857.71 × 84,087.87
  4. Step 4: Simplify right side
    152,072.39x = 17,646,488,072.80
  5. Step 5: Solve for x
    x = 17,646,488,072.80/152,072.39
  6. Step 6: Final answer
    x = 116,040.05

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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.