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Finding the Fourth Proportional to 171,863.40, 257,795.10 and 160,199.40

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Solution

The fourth proportional to 171,863.40, 257,795.10 and 160,199.40 is: 240,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,863.40 : 257,795.10 = 160,199.40 : x
  2. Step 2: Convert to fraction form
    171,863.40/257,795.10 = 160,199.40/x
  3. Step 3: Cross multiply
    171,863.40x = 257,795.10 × 160,199.40
  4. Step 4: Simplify right side
    171,863.40x = 41,298,620,342.94
  5. Step 5: Solve for x
    x = 41,298,620,342.94/171,863.40
  6. Step 6: Final answer
    x = 240,299.10

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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.