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Finding the Fourth Proportional to 207,207.73, 285,946.26 and 116,563.77

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Solution

The fourth proportional to 207,207.73, 285,946.26 and 116,563.77 is: 160,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,207.73 : 285,946.26 = 116,563.77 : x
  2. Step 2: Convert to fraction form
    207,207.73/285,946.26 = 116,563.77/x
  3. Step 3: Cross multiply
    207,207.73x = 285,946.26 × 116,563.77
  4. Step 4: Simplify right side
    207,207.73x = 33,330,972,361.86
  5. Step 5: Solve for x
    x = 33,330,972,361.86/207,207.73
  6. Step 6: Final answer
    x = 160,857.77

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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.