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Finding the Fourth Proportional to 106,897.56, 160,370.61 and 56,951.34

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Solution

The fourth proportional to 106,897.56, 160,370.61 and 56,951.34 is: 85,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,897.56 : 160,370.61 = 56,951.34 : x
  2. Step 2: Convert to fraction form
    106,897.56/160,370.61 = 56,951.34/x
  3. Step 3: Cross multiply
    106,897.56x = 160,370.61 × 56,951.34
  4. Step 4: Simplify right side
    106,897.56x = 9,133,321,136.12
  5. Step 5: Solve for x
    x = 9,133,321,136.12/106,897.56
  6. Step 6: Final answer
    x = 85,439.94

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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.