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Finding the Fourth Proportional to 306,755.61, 460,244.13 and 107,105.41

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Solution

The fourth proportional to 306,755.61, 460,244.13 and 107,105.41 is: 160,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,755.61 : 460,244.13 = 107,105.41 : x
  2. Step 2: Convert to fraction form
    306,755.61/460,244.13 = 107,105.41/x
  3. Step 3: Cross multiply
    306,755.61x = 460,244.13 × 107,105.41
  4. Step 4: Simplify right side
    306,755.61x = 49,294,633,828.53
  5. Step 5: Solve for x
    x = 49,294,633,828.53/306,755.61
  6. Step 6: Final answer
    x = 160,696.77

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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.