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Finding the Fourth Proportional to 104,695.16, 156,983.22 and 71,455.50

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Solution

The fourth proportional to 104,695.16, 156,983.22 and 71,455.50 is: 107,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,695.16 : 156,983.22 = 71,455.50 : x
  2. Step 2: Convert to fraction form
    104,695.16/156,983.22 = 71,455.50/x
  3. Step 3: Cross multiply
    104,695.16x = 156,983.22 × 71,455.50
  4. Step 4: Simplify right side
    104,695.16x = 11,217,314,476.71
  5. Step 5: Solve for x
    x = 11,217,314,476.71/104,695.16
  6. Step 6: Final answer
    x = 107,142.63

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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.