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Finding the Fourth Proportional to 213,805.92, 320,705.44 and 73,565.76

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Solution

The fourth proportional to 213,805.92, 320,705.44 and 73,565.76 is: 110,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,805.92 : 320,705.44 = 73,565.76 : x
  2. Step 2: Convert to fraction form
    213,805.92/320,705.44 = 73,565.76/x
  3. Step 3: Cross multiply
    213,805.92x = 320,705.44 × 73,565.76
  4. Step 4: Simplify right side
    213,805.92x = 23,592,939,429.73
  5. Step 5: Solve for x
    x = 23,592,939,429.73/213,805.92
  6. Step 6: Final answer
    x = 110,347.46

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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.