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Finding the Fourth Proportional to 222,464.94, 307,000.04 and 120,488.05

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Solution

The fourth proportional to 222,464.94, 307,000.04 and 120,488.05 is: 166,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,464.94 : 307,000.04 = 120,488.05 : x
  2. Step 2: Convert to fraction form
    222,464.94/307,000.04 = 120,488.05/x
  3. Step 3: Cross multiply
    222,464.94x = 307,000.04 × 120,488.05
  4. Step 4: Simplify right side
    222,464.94x = 36,989,836,169.52
  5. Step 5: Solve for x
    x = 36,989,836,169.52/222,464.94
  6. Step 6: Final answer
    x = 166,272.65

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1.5x scale

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.