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Finding the Fourth Proportional to 206,353.74, 284,782.77 and 114,503.07

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Solution

The fourth proportional to 206,353.74, 284,782.77 and 114,503.07 is: 158,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,353.74 : 284,782.77 = 114,503.07 : x
  2. Step 2: Convert to fraction form
    206,353.74/284,782.77 = 114,503.07/x
  3. Step 3: Cross multiply
    206,353.74x = 284,782.77 × 114,503.07
  4. Step 4: Simplify right side
    206,353.74x = 32,608,501,448.10
  5. Step 5: Solve for x
    x = 32,608,501,448.10/206,353.74
  6. Step 6: Final answer
    x = 158,022.34

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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.