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Finding the Fourth Proportional to 194,193.92, 291,404.08 and 81,867.28

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Solution

The fourth proportional to 194,193.92, 291,404.08 and 81,867.28 is: 122,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,193.92 : 291,404.08 = 81,867.28 : x
  2. Step 2: Convert to fraction form
    194,193.92/291,404.08 = 81,867.28/x
  3. Step 3: Cross multiply
    194,193.92x = 291,404.08 × 81,867.28
  4. Step 4: Simplify right side
    194,193.92x = 23,856,459,410.50
  5. Step 5: Solve for x
    x = 23,856,459,410.50/194,193.92
  6. Step 6: Final answer
    x = 122,848.64

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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.