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Finding the Fourth Proportional to 172,024.88, 257,906.01 and 97,229.48

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Solution

The fourth proportional to 172,024.88, 257,906.01 and 97,229.48 is: 145,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,024.88 : 257,906.01 = 97,229.48 : x
  2. Step 2: Convert to fraction form
    172,024.88/257,906.01 = 97,229.48/x
  3. Step 3: Cross multiply
    172,024.88x = 257,906.01 × 97,229.48
  4. Step 4: Simplify right side
    172,024.88x = 25,076,067,241.17
  5. Step 5: Solve for x
    x = 25,076,067,241.17/172,024.88
  6. Step 6: Final answer
    x = 145,770.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.