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Finding the Fourth Proportional to 222,117.66, 306,524.88 and 120,145.14

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Solution

The fourth proportional to 222,117.66, 306,524.88 and 120,145.14 is: 165,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,117.66 : 306,524.88 = 120,145.14 : x
  2. Step 2: Convert to fraction form
    222,117.66/306,524.88 = 120,145.14/x
  3. Step 3: Cross multiply
    222,117.66x = 306,524.88 × 120,145.14
  4. Step 4: Simplify right side
    222,117.66x = 36,827,474,621.08
  5. Step 5: Solve for x
    x = 36,827,474,621.08/222,117.66
  6. Step 6: Final answer
    x = 165,801.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.