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Finding the Fourth Proportional to 116,012.50, 160,174.47 and 89,107

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Solution

The fourth proportional to 116,012.50, 160,174.47 and 89,107 is: 123,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,012.50 : 160,174.47 = 89,107 : x
  2. Step 2: Convert to fraction form
    116,012.50/160,174.47 = 89,107/x
  3. Step 3: Cross multiply
    116,012.50x = 160,174.47 × 89,107
  4. Step 4: Simplify right side
    116,012.50x = 14,272,666,498.29
  5. Step 5: Solve for x
    x = 14,272,666,498.29/116,012.50
  6. Step 6: Final answer
    x = 123,026.97

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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.