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Finding the Fourth Proportional to 115,428.84, 159,246.55 and 67,022.50

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Solution

The fourth proportional to 115,428.84, 159,246.55 and 67,022.50 is: 92,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,428.84 : 159,246.55 = 67,022.50 : x
  2. Step 2: Convert to fraction form
    115,428.84/159,246.55 = 67,022.50/x
  3. Step 3: Cross multiply
    115,428.84x = 159,246.55 × 67,022.50
  4. Step 4: Simplify right side
    115,428.84x = 10,673,101,897.38
  5. Step 5: Solve for x
    x = 10,673,101,897.38/115,428.84
  6. Step 6: Final answer
    x = 92,464.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.