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Finding the Fourth Proportional to 194,220.64, 291,188.40 and 81,896.32

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Solution

The fourth proportional to 194,220.64, 291,188.40 and 81,896.32 is: 122,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,220.64 : 291,188.40 = 81,896.32 : x
  2. Step 2: Convert to fraction form
    194,220.64/291,188.40 = 81,896.32/x
  3. Step 3: Cross multiply
    194,220.64x = 291,188.40 × 81,896.32
  4. Step 4: Simplify right side
    194,220.64x = 23,847,258,386.69
  5. Step 5: Solve for x
    x = 23,847,258,386.69/194,220.64
  6. Step 6: Final answer
    x = 122,784.37

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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.