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Finding the Fourth Proportional to 82,428.99, 122,902.75 and 75,391.45

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Solution

The fourth proportional to 82,428.99, 122,902.75 and 75,391.45 is: 112,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,428.99 : 122,902.75 = 75,391.45 : x
  2. Step 2: Convert to fraction form
    82,428.99/122,902.75 = 75,391.45/x
  3. Step 3: Cross multiply
    82,428.99x = 122,902.75 × 75,391.45
  4. Step 4: Simplify right side
    82,428.99x = 9,265,816,531.49
  5. Step 5: Solve for x
    x = 9,265,816,531.49/82,428.99
  6. Step 6: Final answer
    x = 112,409.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.