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Finding the Fourth Proportional to 106,773.62, 160,257.04 and 56,895.86

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Solution

The fourth proportional to 106,773.62, 160,257.04 and 56,895.86 is: 85,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,773.62 : 160,257.04 = 56,895.86 : x
  2. Step 2: Convert to fraction form
    106,773.62/160,257.04 = 56,895.86/x
  3. Step 3: Cross multiply
    106,773.62x = 160,257.04 × 56,895.86
  4. Step 4: Simplify right side
    106,773.62x = 9,117,962,111.85
  5. Step 5: Solve for x
    x = 9,117,962,111.85/106,773.62
  6. Step 6: Final answer
    x = 85,395.27

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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.