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Finding the Fourth Proportional to 194,099.76, 291,057.36 and 67,724.64

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Solution

The fourth proportional to 194,099.76, 291,057.36 and 67,724.64 is: 101,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,099.76 : 291,057.36 = 67,724.64 : x
  2. Step 2: Convert to fraction form
    194,099.76/291,057.36 = 67,724.64/x
  3. Step 3: Cross multiply
    194,099.76x = 291,057.36 × 67,724.64
  4. Step 4: Simplify right side
    194,099.76x = 19,711,754,925.35
  5. Step 5: Solve for x
    x = 19,711,754,925.35/194,099.76
  6. Step 6: Final answer
    x = 101,554.76

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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.