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Finding the Fourth Proportional to 171,086.16, 256,624.92 and 46,423.92

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Solution

The fourth proportional to 171,086.16, 256,624.92 and 46,423.92 is: 69,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,086.16 : 256,624.92 = 46,423.92 : x
  2. Step 2: Convert to fraction form
    171,086.16/256,624.92 = 46,423.92/x
  3. Step 3: Cross multiply
    171,086.16x = 256,624.92 × 46,423.92
  4. Step 4: Simplify right side
    171,086.16x = 11,913,534,756.09
  5. Step 5: Solve for x
    x = 11,913,534,756.09/171,086.16
  6. Step 6: Final answer
    x = 69,634.71

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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.