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Finding the Fourth Proportional to 116,926.74, 161,253 and 76,626

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Solution

The fourth proportional to 116,926.74, 161,253 and 76,626 is: 105,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,926.74 : 161,253 = 76,626 : x
  2. Step 2: Convert to fraction form
    116,926.74/161,253 = 76,626/x
  3. Step 3: Cross multiply
    116,926.74x = 161,253 × 76,626
  4. Step 4: Simplify right side
    116,926.74x = 12,356,172,378
  5. Step 5: Solve for x
    x = 12,356,172,378/116,926.74
  6. Step 6: Final answer
    x = 105,674.48

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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.