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Finding the Fourth Proportional to 136,283.51, 204,299.52 and 73,147.86

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Solution

The fourth proportional to 136,283.51, 204,299.52 and 73,147.86 is: 109,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,283.51 : 204,299.52 = 73,147.86 : x
  2. Step 2: Convert to fraction form
    136,283.51/204,299.52 = 73,147.86/x
  3. Step 3: Cross multiply
    136,283.51x = 204,299.52 × 73,147.86
  4. Step 4: Simplify right side
    136,283.51x = 14,944,072,412.72
  5. Step 5: Solve for x
    x = 14,944,072,412.72/136,283.51
  6. Step 6: Final answer
    x = 109,654.29

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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.