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Finding the Fourth Proportional to 170,842.86, 256,264.62 and 58,524

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Solution

The fourth proportional to 170,842.86, 256,264.62 and 58,524 is: 87,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,842.86 : 256,264.62 = 58,524 : x
  2. Step 2: Convert to fraction form
    170,842.86/256,264.62 = 58,524/x
  3. Step 3: Cross multiply
    170,842.86x = 256,264.62 × 58,524
  4. Step 4: Simplify right side
    170,842.86x = 14,997,630,620.88
  5. Step 5: Solve for x
    x = 14,997,630,620.88/170,842.86
  6. Step 6: Final answer
    x = 87,786.11

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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.