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Finding the Fourth Proportional to 153,190.38, 211,399.69 and 85,205.89

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Solution

The fourth proportional to 153,190.38, 211,399.69 and 85,205.89 is: 117,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190.38 : 211,399.69 = 85,205.89 : x
  2. Step 2: Convert to fraction form
    153,190.38/211,399.69 = 85,205.89/x
  3. Step 3: Cross multiply
    153,190.38x = 211,399.69 × 85,205.89
  4. Step 4: Simplify right side
    153,190.38x = 18,012,498,732.17
  5. Step 5: Solve for x
    x = 18,012,498,732.17/153,190.38
  6. Step 6: Final answer
    x = 117,582.44

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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.