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Finding the Fourth Proportional to 194,626.40, 291,723.60 and 76,258.40

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Solution

The fourth proportional to 194,626.40, 291,723.60 and 76,258.40 is: 114,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,626.40 : 291,723.60 = 76,258.40 : x
  2. Step 2: Convert to fraction form
    194,626.40/291,723.60 = 76,258.40/x
  3. Step 3: Cross multiply
    194,626.40x = 291,723.60 × 76,258.40
  4. Step 4: Simplify right side
    194,626.40x = 22,246,374,978.24
  5. Step 5: Solve for x
    x = 22,246,374,978.24/194,626.40
  6. Step 6: Final answer
    x = 114,302.97

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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.