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Finding the Fourth Proportional to 194,388.64, 291,705.84 and 111,444.64

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Solution

The fourth proportional to 194,388.64, 291,705.84 and 111,444.64 is: 167,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,388.64 : 291,705.84 = 111,444.64 : x
  2. Step 2: Convert to fraction form
    194,388.64/291,705.84 = 111,444.64/x
  3. Step 3: Cross multiply
    194,388.64x = 291,705.84 × 111,444.64
  4. Step 4: Simplify right side
    194,388.64x = 32,509,052,324.70
  5. Step 5: Solve for x
    x = 32,509,052,324.70/194,388.64
  6. Step 6: Final answer
    x = 167,237.41

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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.