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Finding the Fourth Proportional to 213,924.76, 320,882.82 and 73,680.28

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Solution

The fourth proportional to 213,924.76, 320,882.82 and 73,680.28 is: 110,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,924.76 : 320,882.82 = 73,680.28 : x
  2. Step 2: Convert to fraction form
    213,924.76/320,882.82 = 73,680.28/x
  3. Step 3: Cross multiply
    213,924.76x = 320,882.82 × 73,680.28
  4. Step 4: Simplify right side
    213,924.76x = 23,642,736,024.79
  5. Step 5: Solve for x
    x = 23,642,736,024.79/213,924.76
  6. Step 6: Final answer
    x = 110,518.93

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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.