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Finding the Fourth Proportional to 106,814.70, 160,318.34 and 56,936.34

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Solution

The fourth proportional to 106,814.70, 160,318.34 and 56,936.34 is: 85,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.70 : 160,318.34 = 56,936.34 : x
  2. Step 2: Convert to fraction form
    106,814.70/160,318.34 = 56,936.34/x
  3. Step 3: Cross multiply
    106,814.70x = 160,318.34 × 56,936.34
  4. Step 4: Simplify right side
    106,814.70x = 9,127,939,514.48
  5. Step 5: Solve for x
    x = 9,127,939,514.48/106,814.70
  6. Step 6: Final answer
    x = 85,455.84

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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.