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Finding the Fourth Proportional to 201,138.96, 277,540.94 and 116,239.64

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Solution

The fourth proportional to 201,138.96, 277,540.94 and 116,239.64 is: 160,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.96 : 277,540.94 = 116,239.64 : x
  2. Step 2: Convert to fraction form
    201,138.96/277,540.94 = 116,239.64/x
  3. Step 3: Cross multiply
    201,138.96x = 277,540.94 × 116,239.64
  4. Step 4: Simplify right side
    201,138.96x = 32,261,258,950.86
  5. Step 5: Solve for x
    x = 32,261,258,950.86/201,138.96
  6. Step 6: Final answer
    x = 160,392.89

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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.