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Finding the Fourth Proportional to 203,776.69, 305,566.72 and 85,416.25

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Solution

The fourth proportional to 203,776.69, 305,566.72 and 85,416.25 is: 128,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,776.69 : 305,566.72 = 85,416.25 : x
  2. Step 2: Convert to fraction form
    203,776.69/305,566.72 = 85,416.25/x
  3. Step 3: Cross multiply
    203,776.69x = 305,566.72 × 85,416.25
  4. Step 4: Simplify right side
    203,776.69x = 26,100,361,963.16
  5. Step 5: Solve for x
    x = 26,100,361,963.16/203,776.69
  6. Step 6: Final answer
    x = 128,083.16

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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.