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Finding the Fourth Proportional to 169,223.04, 253,856.16 and 56,855.04

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Solution

The fourth proportional to 169,223.04, 253,856.16 and 56,855.04 is: 85,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,223.04 : 253,856.16 = 56,855.04 : x
  2. Step 2: Convert to fraction form
    169,223.04/253,856.16 = 56,855.04/x
  3. Step 3: Cross multiply
    169,223.04x = 253,856.16 × 56,855.04
  4. Step 4: Simplify right side
    169,223.04x = 14,433,002,131.05
  5. Step 5: Solve for x
    x = 14,433,002,131.05/169,223.04
  6. Step 6: Final answer
    x = 85,289.82

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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.