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Finding the Fourth Proportional to 257,416.86, 355,115.19 and 161,976.18

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Solution

The fourth proportional to 257,416.86, 355,115.19 and 161,976.18 is: 223,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416.86 : 355,115.19 = 161,976.18 : x
  2. Step 2: Convert to fraction form
    257,416.86/355,115.19 = 161,976.18/x
  3. Step 3: Cross multiply
    257,416.86x = 355,115.19 × 161,976.18
  4. Step 4: Simplify right side
    257,416.86x = 57,520,201,936.17
  5. Step 5: Solve for x
    x = 57,520,201,936.17/257,416.86
  6. Step 6: Final answer
    x = 223,451.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.