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Finding the Fourth Proportional to 257,069.80, 385,604.70 and 166,868.20

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Solution

The fourth proportional to 257,069.80, 385,604.70 and 166,868.20 is: 250,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069.80 : 385,604.70 = 166,868.20 : x
  2. Step 2: Convert to fraction form
    257,069.80/385,604.70 = 166,868.20/x
  3. Step 3: Cross multiply
    257,069.80x = 385,604.70 × 166,868.20
  4. Step 4: Simplify right side
    257,069.80x = 64,345,162,200.54
  5. Step 5: Solve for x
    x = 64,345,162,200.54/257,069.80
  6. Step 6: Final answer
    x = 250,302.30

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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.