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Finding the Fourth Proportional to 201,109.64, 277,523.70 and 111,691.40

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Solution

The fourth proportional to 201,109.64, 277,523.70 and 111,691.40 is: 154,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,109.64 : 277,523.70 = 111,691.40 : x
  2. Step 2: Convert to fraction form
    201,109.64/277,523.70 = 111,691.40/x
  3. Step 3: Cross multiply
    201,109.64x = 277,523.70 × 111,691.40
  4. Step 4: Simplify right side
    201,109.64x = 30,997,010,586.18
  5. Step 5: Solve for x
    x = 30,997,010,586.18/201,109.64
  6. Step 6: Final answer
    x = 154,129.91

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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.