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Finding the Fourth Proportional to 205,364.55, 308,157.11 and 85,504.25

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Solution

The fourth proportional to 205,364.55, 308,157.11 and 85,504.25 is: 128,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.55 : 308,157.11 = 85,504.25 : x
  2. Step 2: Convert to fraction form
    205,364.55/308,157.11 = 85,504.25/x
  3. Step 3: Cross multiply
    205,364.55x = 308,157.11 × 85,504.25
  4. Step 4: Simplify right side
    205,364.55x = 26,348,740,604.41
  5. Step 5: Solve for x
    x = 26,348,740,604.41/205,364.55
  6. Step 6: Final answer
    x = 128,302.28

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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.