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Finding the Fourth Proportional to 118,083.20, 177,329.60 and 83,267.20

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Solution

The fourth proportional to 118,083.20, 177,329.60 and 83,267.20 is: 125,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,083.20 : 177,329.60 = 83,267.20 : x
  2. Step 2: Convert to fraction form
    118,083.20/177,329.60 = 83,267.20/x
  3. Step 3: Cross multiply
    118,083.20x = 177,329.60 × 83,267.20
  4. Step 4: Simplify right side
    118,083.20x = 14,765,739,269.12
  5. Step 5: Solve for x
    x = 14,765,739,269.12/118,083.20
  6. Step 6: Final answer
    x = 125,045.22

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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.