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Finding the Fourth Proportional to 222,970.84, 307,698.16 and 120,993.72

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Solution

The fourth proportional to 222,970.84, 307,698.16 and 120,993.72 is: 166,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,970.84 : 307,698.16 = 120,993.72 : x
  2. Step 2: Convert to fraction form
    222,970.84/307,698.16 = 120,993.72/x
  3. Step 3: Cross multiply
    222,970.84x = 307,698.16 × 120,993.72
  4. Step 4: Simplify right side
    222,970.84x = 37,229,545,015.56
  5. Step 5: Solve for x
    x = 37,229,545,015.56/222,970.84
  6. Step 6: Final answer
    x = 166,970.47

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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.