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Finding the Fourth Proportional to 222,688.32, 334,076.16 and 82,448.16

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Solution

The fourth proportional to 222,688.32, 334,076.16 and 82,448.16 is: 123,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,688.32 : 334,076.16 = 82,448.16 : x
  2. Step 2: Convert to fraction form
    222,688.32/334,076.16 = 82,448.16/x
  3. Step 3: Cross multiply
    222,688.32x = 334,076.16 × 82,448.16
  4. Step 4: Simplify right side
    222,688.32x = 27,543,964,691.87
  5. Step 5: Solve for x
    x = 27,543,964,691.87/222,688.32
  6. Step 6: Final answer
    x = 123,688.41

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1.5x scale

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.