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Finding the Fourth Proportional to 107,355.30, 161,032.95 and 54,757.95

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Solution

The fourth proportional to 107,355.30, 161,032.95 and 54,757.95 is: 82,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,355.30 : 161,032.95 = 54,757.95 : x
  2. Step 2: Convert to fraction form
    107,355.30/161,032.95 = 54,757.95/x
  3. Step 3: Cross multiply
    107,355.30x = 161,032.95 × 54,757.95
  4. Step 4: Simplify right side
    107,355.30x = 8,817,834,224.45
  5. Step 5: Solve for x
    x = 8,817,834,224.45/107,355.30
  6. Step 6: Final answer
    x = 82,136.93

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Why These Related Problems?

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