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Finding the Fourth Proportional to 150,906.22, 208,254.03 and 82,918.93

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Solution

The fourth proportional to 150,906.22, 208,254.03 and 82,918.93 is: 114,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,906.22 : 208,254.03 = 82,918.93 : x
  2. Step 2: Convert to fraction form
    150,906.22/208,254.03 = 82,918.93/x
  3. Step 3: Cross multiply
    150,906.22x = 208,254.03 × 82,918.93
  4. Step 4: Simplify right side
    150,906.22x = 17,268,201,335.79
  5. Step 5: Solve for x
    x = 17,268,201,335.79/150,906.22
  6. Step 6: Final answer
    x = 114,430.02

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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.