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Finding the Fourth Proportional to 116,097.67, 160,221.27 and 87,365.67

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Solution

The fourth proportional to 116,097.67, 160,221.27 and 87,365.67 is: 120,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.67 : 160,221.27 = 87,365.67 : x
  2. Step 2: Convert to fraction form
    116,097.67/160,221.27 = 87,365.67/x
  3. Step 3: Cross multiply
    116,097.67x = 160,221.27 × 87,365.67
  4. Step 4: Simplify right side
    116,097.67x = 13,997,838,601.80
  5. Step 5: Solve for x
    x = 13,997,838,601.80/116,097.67
  6. Step 6: Final answer
    x = 120,569.50

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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.