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Finding the Fourth Proportional to 568,101.66, 852,174.09 and 189,056.22

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Solution

The fourth proportional to 568,101.66, 852,174.09 and 189,056.22 is: 283,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,101.66 : 852,174.09 = 189,056.22 : x
  2. Step 2: Convert to fraction form
    568,101.66/852,174.09 = 189,056.22/x
  3. Step 3: Cross multiply
    568,101.66x = 852,174.09 × 189,056.22
  4. Step 4: Simplify right side
    568,101.66x = 161,108,812,237.34
  5. Step 5: Solve for x
    x = 161,108,812,237.34/568,101.66
  6. Step 6: Final answer
    x = 283,591.52

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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.