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Finding the Fourth Proportional to 108,002.70, 162,004.05 and 106,965.90

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Solution

The fourth proportional to 108,002.70, 162,004.05 and 106,965.90 is: 160,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002.70 : 162,004.05 = 106,965.90 : x
  2. Step 2: Convert to fraction form
    108,002.70/162,004.05 = 106,965.90/x
  3. Step 3: Cross multiply
    108,002.70x = 162,004.05 × 106,965.90
  4. Step 4: Simplify right side
    108,002.70x = 17,328,909,011.90
  5. Step 5: Solve for x
    x = 17,328,909,011.90/108,002.70
  6. Step 6: Final answer
    x = 160,448.85

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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.