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Finding the Fourth Proportional to 257,027.80, 385,541.70 and 166,826.20

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Solution

The fourth proportional to 257,027.80, 385,541.70 and 166,826.20 is: 250,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,027.80 : 385,541.70 = 166,826.20 : x
  2. Step 2: Convert to fraction form
    257,027.80/385,541.70 = 166,826.20/x
  3. Step 3: Cross multiply
    257,027.80x = 385,541.70 × 166,826.20
  4. Step 4: Simplify right side
    257,027.80x = 64,318,456,752.54
  5. Step 5: Solve for x
    x = 64,318,456,752.54/257,027.80
  6. Step 6: Final answer
    x = 250,239.30

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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.