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Finding the Fourth Proportional to 169,102.87, 253,658.40 and 56,786.77

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Solution

The fourth proportional to 169,102.87, 253,658.40 and 56,786.77 is: 85,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,102.87 : 253,658.40 = 56,786.77 : x
  2. Step 2: Convert to fraction form
    169,102.87/253,658.40 = 56,786.77/x
  3. Step 3: Cross multiply
    169,102.87x = 253,658.40 × 56,786.77
  4. Step 4: Simplify right side
    169,102.87x = 14,404,441,219.37
  5. Step 5: Solve for x
    x = 14,404,441,219.37/169,102.87
  6. Step 6: Final answer
    x = 85,181.53

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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.