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Finding the Fourth Proportional to 167,026.50, 250,578.66 and 56,218.50

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Solution

The fourth proportional to 167,026.50, 250,578.66 and 56,218.50 is: 84,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,026.50 : 250,578.66 = 56,218.50 : x
  2. Step 2: Convert to fraction form
    167,026.50/250,578.66 = 56,218.50/x
  3. Step 3: Cross multiply
    167,026.50x = 250,578.66 × 56,218.50
  4. Step 4: Simplify right side
    167,026.50x = 14,087,156,397.21
  5. Step 5: Solve for x
    x = 14,087,156,397.21/167,026.50
  6. Step 6: Final answer
    x = 84,340.85

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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.