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Finding the Fourth Proportional to 206,188.83, 309,331.66 and 64,026.77

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Solution

The fourth proportional to 206,188.83, 309,331.66 and 64,026.77 is: 96,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,188.83 : 309,331.66 = 64,026.77 : x
  2. Step 2: Convert to fraction form
    206,188.83/309,331.66 = 64,026.77/x
  3. Step 3: Cross multiply
    206,188.83x = 309,331.66 × 64,026.77
  4. Step 4: Simplify right side
    206,188.83x = 19,805,505,501.88
  5. Step 5: Solve for x
    x = 19,805,505,501.88/206,188.83
  6. Step 6: Final answer
    x = 96,055.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.