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Finding the Fourth Proportional to 117,809.76, 162,353.52 and 84,217.44

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Solution

The fourth proportional to 117,809.76, 162,353.52 and 84,217.44 is: 116,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,809.76 : 162,353.52 = 84,217.44 : x
  2. Step 2: Convert to fraction form
    117,809.76/162,353.52 = 84,217.44/x
  3. Step 3: Cross multiply
    117,809.76x = 162,353.52 × 84,217.44
  4. Step 4: Simplify right side
    117,809.76x = 13,672,997,829.39
  5. Step 5: Solve for x
    x = 13,672,997,829.39/117,809.76
  6. Step 6: Final answer
    x = 116,059.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.