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Finding the Fourth Proportional to 205,168.64, 308,294.18 and 110,468.84

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Solution

The fourth proportional to 205,168.64, 308,294.18 and 110,468.84 is: 165,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,168.64 : 308,294.18 = 110,468.84 : x
  2. Step 2: Convert to fraction form
    205,168.64/308,294.18 = 110,468.84/x
  3. Step 3: Cross multiply
    205,168.64x = 308,294.18 × 110,468.84
  4. Step 4: Simplify right side
    205,168.64x = 34,056,900,443.35
  5. Step 5: Solve for x
    x = 34,056,900,443.35/205,168.64
  6. Step 6: Final answer
    x = 165,994.67

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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.