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Finding the Fourth Proportional to 150,781.62, 208,069.32 and 82,798.32

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Solution

The fourth proportional to 150,781.62, 208,069.32 and 82,798.32 is: 114,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,781.62 : 208,069.32 = 82,798.32 : x
  2. Step 2: Convert to fraction form
    150,781.62/208,069.32 = 82,798.32/x
  3. Step 3: Cross multiply
    150,781.62x = 208,069.32 × 82,798.32
  4. Step 4: Simplify right side
    150,781.62x = 17,227,790,139.54
  5. Step 5: Solve for x
    x = 17,227,790,139.54/150,781.62
  6. Step 6: Final answer
    x = 114,256.57

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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.