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Finding the Fourth Proportional to 201,049.38, 277,454.61 and 116,166.42

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Solution

The fourth proportional to 201,049.38, 277,454.61 and 116,166.42 is: 160,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,049.38 : 277,454.61 = 116,166.42 : x
  2. Step 2: Convert to fraction form
    201,049.38/277,454.61 = 116,166.42/x
  3. Step 3: Cross multiply
    201,049.38x = 277,454.61 × 116,166.42
  4. Step 4: Simplify right side
    201,049.38x = 32,230,908,756.20
  5. Step 5: Solve for x
    x = 32,230,908,756.20/201,049.38
  6. Step 6: Final answer
    x = 160,313.40

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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.