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Finding the Fourth Proportional to 198,271.83, 273,615.26 and 107,627.76

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Solution

The fourth proportional to 198,271.83, 273,615.26 and 107,627.76 is: 148,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,271.83 : 273,615.26 = 107,627.76 : x
  2. Step 2: Convert to fraction form
    198,271.83/273,615.26 = 107,627.76/x
  3. Step 3: Cross multiply
    198,271.83x = 273,615.26 × 107,627.76
  4. Step 4: Simplify right side
    198,271.83x = 29,448,596,997.48
  5. Step 5: Solve for x
    x = 29,448,596,997.48/198,271.83
  6. Step 6: Final answer
    x = 148,526.38

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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.