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Finding the Fourth Proportional to 149,838.08, 206,773.76 and 82,768.64

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Solution

The fourth proportional to 149,838.08, 206,773.76 and 82,768.64 is: 114,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,838.08 : 206,773.76 = 82,768.64 : x
  2. Step 2: Convert to fraction form
    149,838.08/206,773.76 = 82,768.64/x
  3. Step 3: Cross multiply
    149,838.08x = 206,773.76 × 82,768.64
  4. Step 4: Simplify right side
    149,838.08x = 17,114,382,902.89
  5. Step 5: Solve for x
    x = 17,114,382,902.89/149,838.08
  6. Step 6: Final answer
    x = 114,219.18

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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.