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Finding the Fourth Proportional to 171,230.10, 256,499.55 and 97,271.70

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Solution

The fourth proportional to 171,230.10, 256,499.55 and 97,271.70 is: 145,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,230.10 : 256,499.55 = 97,271.70 : x
  2. Step 2: Convert to fraction form
    171,230.10/256,499.55 = 97,271.70/x
  3. Step 3: Cross multiply
    171,230.10x = 256,499.55 × 97,271.70
  4. Step 4: Simplify right side
    171,230.10x = 24,950,147,277.74
  5. Step 5: Solve for x
    x = 24,950,147,277.74/171,230.10
  6. Step 6: Final answer
    x = 145,711.22

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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.