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Finding the Fourth Proportional to 171,846.20, 257,834.10 and 83,178.20

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Solution

The fourth proportional to 171,846.20, 257,834.10 and 83,178.20 is: 124,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,846.20 : 257,834.10 = 83,178.20 : x
  2. Step 2: Convert to fraction form
    171,846.20/257,834.10 = 83,178.20/x
  3. Step 3: Cross multiply
    171,846.20x = 257,834.10 × 83,178.20
  4. Step 4: Simplify right side
    171,846.20x = 21,446,176,336.62
  5. Step 5: Solve for x
    x = 21,446,176,336.62/171,846.20
  6. Step 6: Final answer
    x = 124,798.66

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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.