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Finding the Fourth Proportional to 89,210.46, 122,801.42 and 77,105.42

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Solution

The fourth proportional to 89,210.46, 122,801.42 and 77,105.42 is: 106,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,210.46 : 122,801.42 = 77,105.42 : x
  2. Step 2: Convert to fraction form
    89,210.46/122,801.42 = 77,105.42/x
  3. Step 3: Cross multiply
    89,210.46x = 122,801.42 × 77,105.42
  4. Step 4: Simplify right side
    89,210.46x = 9,468,654,671.24
  5. Step 5: Solve for x
    x = 9,468,654,671.24/89,210.46
  6. Step 6: Final answer
    x = 106,138.39

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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.