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Finding the Fourth Proportional to 175,149.63, 262,724.39 and 56,820.98

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Solution

The fourth proportional to 175,149.63, 262,724.39 and 56,820.98 is: 85,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,149.63 : 262,724.39 = 56,820.98 : x
  2. Step 2: Convert to fraction form
    175,149.63/262,724.39 = 56,820.98/x
  3. Step 3: Cross multiply
    175,149.63x = 262,724.39 × 56,820.98
  4. Step 4: Simplify right side
    175,149.63x = 14,928,257,309.70
  5. Step 5: Solve for x
    x = 14,928,257,309.70/175,149.63
  6. Step 6: Final answer
    x = 85,231.45

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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.