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Finding the Fourth Proportional to 220,449.48, 330,570.52 and 153,964.68

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Solution

The fourth proportional to 220,449.48, 330,570.52 and 153,964.68 is: 230,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,449.48 : 330,570.52 = 153,964.68 : x
  2. Step 2: Convert to fraction form
    220,449.48/330,570.52 = 153,964.68/x
  3. Step 3: Cross multiply
    220,449.48x = 330,570.52 × 153,964.68
  4. Step 4: Simplify right side
    220,449.48x = 50,896,184,329.23
  5. Step 5: Solve for x
    x = 50,896,184,329.23/220,449.48
  6. Step 6: Final answer
    x = 230,874.59

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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.