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Finding the Fourth Proportional to 216,738.66, 299,087.73 and 119,938.26

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Solution

The fourth proportional to 216,738.66, 299,087.73 and 119,938.26 is: 165,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,738.66 : 299,087.73 = 119,938.26 : x
  2. Step 2: Convert to fraction form
    216,738.66/299,087.73 = 119,938.26/x
  3. Step 3: Cross multiply
    216,738.66x = 299,087.73 × 119,938.26
  4. Step 4: Simplify right side
    216,738.66x = 35,872,061,923.55
  5. Step 5: Solve for x
    x = 35,872,061,923.55/216,738.66
  6. Step 6: Final answer
    x = 165,508.37

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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.