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Finding the Fourth Proportional to 284,109, 426,164.31 and 73,748.76

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Solution

The fourth proportional to 284,109, 426,164.31 and 73,748.76 is: 110,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,109 : 426,164.31 = 73,748.76 : x
  2. Step 2: Convert to fraction form
    284,109/426,164.31 = 73,748.76/x
  3. Step 3: Cross multiply
    284,109x = 426,164.31 × 73,748.76
  4. Step 4: Simplify right side
    284,109x = 31,429,089,418.76
  5. Step 5: Solve for x
    x = 31,429,089,418.76/284,109
  6. Step 6: Final answer
    x = 110,623.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.