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Finding the Fourth Proportional to 230,693.76, 346,043.52 and 72,936

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Solution

The fourth proportional to 230,693.76, 346,043.52 and 72,936 is: 109,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,693.76 : 346,043.52 = 72,936 : x
  2. Step 2: Convert to fraction form
    230,693.76/346,043.52 = 72,936/x
  3. Step 3: Cross multiply
    230,693.76x = 346,043.52 × 72,936
  4. Step 4: Simplify right side
    230,693.76x = 25,239,030,174.72
  5. Step 5: Solve for x
    x = 25,239,030,174.72/230,693.76
  6. Step 6: Final answer
    x = 109,404.91

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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.