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Finding the Fourth Proportional to 116,140.25, 160,103.87 and 82,088.66

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Solution

The fourth proportional to 116,140.25, 160,103.87 and 82,088.66 is: 113,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,140.25 : 160,103.87 = 82,088.66 : x
  2. Step 2: Convert to fraction form
    116,140.25/160,103.87 = 82,088.66/x
  3. Step 3: Cross multiply
    116,140.25x = 160,103.87 × 82,088.66
  4. Step 4: Simplify right side
    116,140.25x = 13,142,710,938.15
  5. Step 5: Solve for x
    x = 13,142,710,938.15/116,140.25
  6. Step 6: Final answer
    x = 113,162.42

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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.