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Finding the Fourth Proportional to 171,115.74, 256,671.99 and 46,456.74

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Solution

The fourth proportional to 171,115.74, 256,671.99 and 46,456.74 is: 69,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,115.74 : 256,671.99 = 46,456.74 : x
  2. Step 2: Convert to fraction form
    171,115.74/256,671.99 = 46,456.74/x
  3. Step 3: Cross multiply
    171,115.74x = 256,671.99 × 46,456.74
  4. Step 4: Simplify right side
    171,115.74x = 11,924,143,904.71
  5. Step 5: Solve for x
    x = 11,924,143,904.71/171,115.74
  6. Step 6: Final answer
    x = 69,684.67

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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.