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Finding the Fourth Proportional to 213,616.44, 320,582.36 and 101,297.04

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Solution

The fourth proportional to 213,616.44, 320,582.36 and 101,297.04 is: 152,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,616.44 : 320,582.36 = 101,297.04 : x
  2. Step 2: Convert to fraction form
    213,616.44/320,582.36 = 101,297.04/x
  3. Step 3: Cross multiply
    213,616.44x = 320,582.36 × 101,297.04
  4. Step 4: Simplify right side
    213,616.44x = 32,474,044,397.46
  5. Step 5: Solve for x
    x = 32,474,044,397.46/213,616.44
  6. Step 6: Final answer
    x = 152,020.34

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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.