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Finding the Fourth Proportional to 136,302.86, 204,262.86 and 116,208.43

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Solution

The fourth proportional to 136,302.86, 204,262.86 and 116,208.43 is: 174,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,302.86 : 204,262.86 = 116,208.43 : x
  2. Step 2: Convert to fraction form
    136,302.86/204,262.86 = 116,208.43/x
  3. Step 3: Cross multiply
    136,302.86x = 204,262.86 × 116,208.43
  4. Step 4: Simplify right side
    136,302.86x = 23,737,066,267.91
  5. Step 5: Solve for x
    x = 23,737,066,267.91/136,302.86
  6. Step 6: Final answer
    x = 174,149.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.