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Finding the Fourth Proportional to 144,052.47, 198,811.22 and 80,403.48

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Solution

The fourth proportional to 144,052.47, 198,811.22 and 80,403.48 is: 110,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,052.47 : 198,811.22 = 80,403.48 : x
  2. Step 2: Convert to fraction form
    144,052.47/198,811.22 = 80,403.48/x
  3. Step 3: Cross multiply
    144,052.47x = 198,811.22 × 80,403.48
  4. Step 4: Simplify right side
    144,052.47x = 15,985,113,549.03
  5. Step 5: Solve for x
    x = 15,985,113,549.03/144,052.47
  6. Step 6: Final answer
    x = 110,967.30

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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.