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Finding the Fourth Proportional to 203,597.16, 305,398.08 and 61,443.68

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Solution

The fourth proportional to 203,597.16, 305,398.08 and 61,443.68 is: 92,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,597.16 : 305,398.08 = 61,443.68 : x
  2. Step 2: Convert to fraction form
    203,597.16/305,398.08 = 61,443.68/x
  3. Step 3: Cross multiply
    203,597.16x = 305,398.08 × 61,443.68
  4. Step 4: Simplify right side
    203,597.16x = 18,764,780,373.14
  5. Step 5: Solve for x
    x = 18,764,780,373.14/203,597.16
  6. Step 6: Final answer
    x = 92,166.22

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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.