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Finding the Fourth Proportional to 210,484.33, 290,481.78 and 119,848.21

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Solution

The fourth proportional to 210,484.33, 290,481.78 and 119,848.21 is: 165,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,484.33 : 290,481.78 = 119,848.21 : x
  2. Step 2: Convert to fraction form
    210,484.33/290,481.78 = 119,848.21/x
  3. Step 3: Cross multiply
    210,484.33x = 290,481.78 × 119,848.21
  4. Step 4: Simplify right side
    210,484.33x = 34,813,721,370.61
  5. Step 5: Solve for x
    x = 34,813,721,370.61/210,484.33
  6. Step 6: Final answer
    x = 165,398.16

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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.