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Finding the Fourth Proportional to 108,472.98, 162,824.49 and 96,073.50

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Solution

The fourth proportional to 108,472.98, 162,824.49 and 96,073.50 is: 144,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,472.98 : 162,824.49 = 96,073.50 : x
  2. Step 2: Convert to fraction form
    108,472.98/162,824.49 = 96,073.50/x
  3. Step 3: Cross multiply
    108,472.98x = 162,824.49 × 96,073.50
  4. Step 4: Simplify right side
    108,472.98x = 15,643,118,640.02
  5. Step 5: Solve for x
    x = 15,643,118,640.02/108,472.98
  6. Step 6: Final answer
    x = 144,212.12

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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.