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Finding the Fourth Proportional to 171,953.10, 257,966.10 and 52,000.20

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Solution

The fourth proportional to 171,953.10, 257,966.10 and 52,000.20 is: 78,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,953.10 : 257,966.10 = 52,000.20 : x
  2. Step 2: Convert to fraction form
    171,953.10/257,966.10 = 52,000.20/x
  3. Step 3: Cross multiply
    171,953.10x = 257,966.10 × 52,000.20
  4. Step 4: Simplify right side
    171,953.10x = 13,414,288,793.22
  5. Step 5: Solve for x
    x = 13,414,288,793.22/171,953.10
  6. Step 6: Final answer
    x = 78,011.32

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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.