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Finding the Fourth Proportional to 223,022.44, 334,599.32 and 89,834.16

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Solution

The fourth proportional to 223,022.44, 334,599.32 and 89,834.16 is: 134,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,022.44 : 334,599.32 = 89,834.16 : x
  2. Step 2: Convert to fraction form
    223,022.44/334,599.32 = 89,834.16/x
  3. Step 3: Cross multiply
    223,022.44x = 334,599.32 × 89,834.16
  4. Step 4: Simplify right side
    223,022.44x = 30,058,448,848.77
  5. Step 5: Solve for x
    x = 30,058,448,848.77/223,022.44
  6. Step 6: Final answer
    x = 134,777.69

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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.