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Finding the Fourth Proportional to 150,994.48, 208,366.68 and 83,930.80

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Solution

The fourth proportional to 150,994.48, 208,366.68 and 83,930.80 is: 115,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,994.48 : 208,366.68 = 83,930.80 : x
  2. Step 2: Convert to fraction form
    150,994.48/208,366.68 = 83,930.80/x
  3. Step 3: Cross multiply
    150,994.48x = 208,366.68 × 83,930.80
  4. Step 4: Simplify right side
    150,994.48x = 17,488,382,145.74
  5. Step 5: Solve for x
    x = 17,488,382,145.74/150,994.48
  6. Step 6: Final answer
    x = 115,821.33

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1.5x scale

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.