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Finding the Fourth Proportional to 213,174.34, 319,705.82 and 63,374.29

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Solution

The fourth proportional to 213,174.34, 319,705.82 and 63,374.29 is: 95,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,174.34 : 319,705.82 = 63,374.29 : x
  2. Step 2: Convert to fraction form
    213,174.34/319,705.82 = 63,374.29/x
  3. Step 3: Cross multiply
    213,174.34x = 319,705.82 × 63,374.29
  4. Step 4: Simplify right side
    213,174.34x = 20,261,128,472.89
  5. Step 5: Solve for x
    x = 20,261,128,472.89/213,174.34
  6. Step 6: Final answer
    x = 95,044.88

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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.