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Finding the Fourth Proportional to 322,105.72, 483,060.15 and 153,537.23

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Solution

The fourth proportional to 322,105.72, 483,060.15 and 153,537.23 is: 230,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,105.72 : 483,060.15 = 153,537.23 : x
  2. Step 2: Convert to fraction form
    322,105.72/483,060.15 = 153,537.23/x
  3. Step 3: Cross multiply
    322,105.72x = 483,060.15 × 153,537.23
  4. Step 4: Simplify right side
    322,105.72x = 74,167,717,354.38
  5. Step 5: Solve for x
    x = 74,167,717,354.38/322,105.72
  6. Step 6: Final answer
    x = 230,258.93

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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.