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Finding the Fourth Proportional to 201,138.72, 277,611.48 and 116,283.12

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Solution

The fourth proportional to 201,138.72, 277,611.48 and 116,283.12 is: 160,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.72 : 277,611.48 = 116,283.12 : x
  2. Step 2: Convert to fraction form
    201,138.72/277,611.48 = 116,283.12/x
  3. Step 3: Cross multiply
    201,138.72x = 277,611.48 × 116,283.12
  4. Step 4: Simplify right side
    201,138.72x = 32,281,529,042.22
  5. Step 5: Solve for x
    x = 32,281,529,042.22/201,138.72
  6. Step 6: Final answer
    x = 160,493.86

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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.