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Finding the Fourth Proportional to 150,980.70, 208,348.83 and 82,997.58

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Solution

The fourth proportional to 150,980.70, 208,348.83 and 82,997.58 is: 114,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,980.70 : 208,348.83 = 82,997.58 : x
  2. Step 2: Convert to fraction form
    150,980.70/208,348.83 = 82,997.58/x
  3. Step 3: Cross multiply
    150,980.70x = 208,348.83 × 82,997.58
  4. Step 4: Simplify right side
    150,980.70x = 17,292,448,685.83
  5. Step 5: Solve for x
    x = 17,292,448,685.83/150,980.70
  6. Step 6: Final answer
    x = 114,534.17

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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.