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Finding the Fourth Proportional to 116,010, 160,171.02 and 89,104.50

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Solution

The fourth proportional to 116,010, 160,171.02 and 89,104.50 is: 123,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,010 : 160,171.02 = 89,104.50 : x
  2. Step 2: Convert to fraction form
    116,010/160,171.02 = 89,104.50/x
  3. Step 3: Cross multiply
    116,010x = 160,171.02 × 89,104.50
  4. Step 4: Simplify right side
    116,010x = 14,271,958,651.59
  5. Step 5: Solve for x
    x = 14,271,958,651.59/116,010
  6. Step 6: Final answer
    x = 123,023.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.