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Finding the Fourth Proportional to 150,924.78, 208,276.14 and 83,856.78

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Solution

The fourth proportional to 150,924.78, 208,276.14 and 83,856.78 is: 115,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,924.78 : 208,276.14 = 83,856.78 : x
  2. Step 2: Convert to fraction form
    150,924.78/208,276.14 = 83,856.78/x
  3. Step 3: Cross multiply
    150,924.78x = 208,276.14 × 83,856.78
  4. Step 4: Simplify right side
    150,924.78x = 17,465,366,451.23
  5. Step 5: Solve for x
    x = 17,465,366,451.23/150,924.78
  6. Step 6: Final answer
    x = 115,722.33

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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.