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Finding the Fourth Proportional to 230,796.18, 346,244.49 and 73,026

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Solution

The fourth proportional to 230,796.18, 346,244.49 and 73,026 is: 109,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,796.18 : 346,244.49 = 73,026 : x
  2. Step 2: Convert to fraction form
    230,796.18/346,244.49 = 73,026/x
  3. Step 3: Cross multiply
    230,796.18x = 346,244.49 × 73,026
  4. Step 4: Simplify right side
    230,796.18x = 25,284,850,126.74
  5. Step 5: Solve for x
    x = 25,284,850,126.74/230,796.18
  6. Step 6: Final answer
    x = 109,554.89

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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.