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Finding the Fourth Proportional to 201,002.27, 277,383.68 and 110,364.11

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Solution

The fourth proportional to 201,002.27, 277,383.68 and 110,364.11 is: 152,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,002.27 : 277,383.68 = 110,364.11 : x
  2. Step 2: Convert to fraction form
    201,002.27/277,383.68 = 110,364.11/x
  3. Step 3: Cross multiply
    201,002.27x = 277,383.68 × 110,364.11
  4. Step 4: Simplify right side
    201,002.27x = 30,613,201,860.72
  5. Step 5: Solve for x
    x = 30,613,201,860.72/201,002.27
  6. Step 6: Final answer
    x = 152,302.77

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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.