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Finding the Fourth Proportional to 113,684.70, 156,896.58 and 72,320.38

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Solution

The fourth proportional to 113,684.70, 156,896.58 and 72,320.38 is: 99,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,684.70 : 156,896.58 = 72,320.38 : x
  2. Step 2: Convert to fraction form
    113,684.70/156,896.58 = 72,320.38/x
  3. Step 3: Cross multiply
    113,684.70x = 156,896.58 × 72,320.38
  4. Step 4: Simplify right side
    113,684.70x = 11,346,820,286.30
  5. Step 5: Solve for x
    x = 11,346,820,286.30/113,684.70
  6. Step 6: Final answer
    x = 99,809.56

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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.