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Finding the Fourth Proportional to 198,203.88, 273,748.59 and 130,523.52

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Solution

The fourth proportional to 198,203.88, 273,748.59 and 130,523.52 is: 180,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,203.88 : 273,748.59 = 130,523.52 : x
  2. Step 2: Convert to fraction form
    198,203.88/273,748.59 = 130,523.52/x
  3. Step 3: Cross multiply
    198,203.88x = 273,748.59 × 130,523.52
  4. Step 4: Simplify right side
    198,203.88x = 35,730,629,561.84
  5. Step 5: Solve for x
    x = 35,730,629,561.84/198,203.88
  6. Step 6: Final answer
    x = 180,272.10

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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.