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Finding the Fourth Proportional to 100,569.23, 150,916.14 and 58,469.13

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Solution

The fourth proportional to 100,569.23, 150,916.14 and 58,469.13 is: 87,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569.23 : 150,916.14 = 58,469.13 : x
  2. Step 2: Convert to fraction form
    100,569.23/150,916.14 = 58,469.13/x
  3. Step 3: Cross multiply
    100,569.23x = 150,916.14 × 58,469.13
  4. Step 4: Simplify right side
    100,569.23x = 8,823,934,842.82
  5. Step 5: Solve for x
    x = 8,823,934,842.82/100,569.23
  6. Step 6: Final answer
    x = 87,739.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.