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Finding the Fourth Proportional to 199,062.40, 298,593.60 and 174,956.80

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Solution

The fourth proportional to 199,062.40, 298,593.60 and 174,956.80 is: 262,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,062.40 : 298,593.60 = 174,956.80 : x
  2. Step 2: Convert to fraction form
    199,062.40/298,593.60 = 174,956.80/x
  3. Step 3: Cross multiply
    199,062.40x = 298,593.60 × 174,956.80
  4. Step 4: Simplify right side
    199,062.40x = 52,240,980,756.48
  5. Step 5: Solve for x
    x = 52,240,980,756.48/199,062.40
  6. Step 6: Final answer
    x = 262,435.20

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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.