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Finding the Fourth Proportional to 152,068.34, 209,850.59 and 84,083.57

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Solution

The fourth proportional to 152,068.34, 209,850.59 and 84,083.57 is: 116,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,068.34 : 209,850.59 = 84,083.57 : x
  2. Step 2: Convert to fraction form
    152,068.34/209,850.59 = 84,083.57/x
  3. Step 3: Cross multiply
    152,068.34x = 209,850.59 × 84,083.57
  4. Step 4: Simplify right side
    152,068.34x = 17,644,985,304.14
  5. Step 5: Solve for x
    x = 17,644,985,304.14/152,068.34
  6. Step 6: Final answer
    x = 116,033.26

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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.