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Finding the Fourth Proportional to 306,081.88, 458,859.86 and 106,376.32

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Solution

The fourth proportional to 306,081.88, 458,859.86 and 106,376.32 is: 159,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,081.88 : 458,859.86 = 106,376.32 : x
  2. Step 2: Convert to fraction form
    306,081.88/458,859.86 = 106,376.32/x
  3. Step 3: Cross multiply
    306,081.88x = 458,859.86 × 106,376.32
  4. Step 4: Simplify right side
    306,081.88x = 48,811,823,302.52
  5. Step 5: Solve for x
    x = 48,811,823,302.52/306,081.88
  6. Step 6: Final answer
    x = 159,473.09

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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.