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Finding the Fourth Proportional to 106,894.21, 160,293.92 and 56,965.00

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Solution

The fourth proportional to 106,894.21, 160,293.92 and 56,965.00 is: 85,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,894.21 : 160,293.92 = 56,965.00 : x
  2. Step 2: Convert to fraction form
    106,894.21/160,293.92 = 56,965.00/x
  3. Step 3: Cross multiply
    106,894.21x = 160,293.92 × 56,965.00
  4. Step 4: Simplify right side
    106,894.21x = 9,131,142,493.74
  5. Step 5: Solve for x
    x = 9,131,142,493.74/106,894.21
  6. Step 6: Final answer
    x = 85,422.24

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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.