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Finding the Fourth Proportional to 116,102.33, 160,227.69 and 87,370.31

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Solution

The fourth proportional to 116,102.33, 160,227.69 and 87,370.31 is: 120,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,102.33 : 160,227.69 = 87,370.31 : x
  2. Step 2: Convert to fraction form
    116,102.33/160,227.69 = 87,370.31/x
  3. Step 3: Cross multiply
    116,102.33x = 160,227.69 × 87,370.31
  4. Step 4: Simplify right side
    116,102.33x = 13,999,143,018.81
  5. Step 5: Solve for x
    x = 13,999,143,018.81/116,102.33
  6. Step 6: Final answer
    x = 120,575.90

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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.