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Finding the Fourth Proportional to 169,142.83, 253,752.68 and 56,814.42

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Solution

The fourth proportional to 169,142.83, 253,752.68 and 56,814.42 is: 85,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,142.83 : 253,752.68 = 56,814.42 : x
  2. Step 2: Convert to fraction form
    169,142.83/253,752.68 = 56,814.42/x
  3. Step 3: Cross multiply
    169,142.83x = 253,752.68 × 56,814.42
  4. Step 4: Simplify right side
    169,142.83x = 14,416,812,431.25
  5. Step 5: Solve for x
    x = 14,416,812,431.25/169,142.83
  6. Step 6: Final answer
    x = 85,234.55

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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.