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Finding the Fourth Proportional to 116,013, 160,175.16 and 89,107.50

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Solution

The fourth proportional to 116,013, 160,175.16 and 89,107.50 is: 123,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,013 : 160,175.16 = 89,107.50 : x
  2. Step 2: Convert to fraction form
    116,013/160,175.16 = 89,107.50/x
  3. Step 3: Cross multiply
    116,013x = 160,175.16 × 89,107.50
  4. Step 4: Simplify right side
    116,013x = 14,272,808,069.70
  5. Step 5: Solve for x
    x = 14,272,808,069.70/116,013
  6. Step 6: Final answer
    x = 123,027.66

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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.