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Finding the Fourth Proportional to 164,614.78, 227,166.42 and 100,062.64

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Solution

The fourth proportional to 164,614.78, 227,166.42 and 100,062.64 is: 138,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,614.78 : 227,166.42 = 100,062.64 : x
  2. Step 2: Convert to fraction form
    164,614.78/227,166.42 = 100,062.64/x
  3. Step 3: Cross multiply
    164,614.78x = 227,166.42 × 100,062.64
  4. Step 4: Simplify right side
    164,614.78x = 22,730,871,704.55
  5. Step 5: Solve for x
    x = 22,730,871,704.55/164,614.78
  6. Step 6: Final answer
    x = 138,085.24

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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.