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Finding the Fourth Proportional to 106,123.68, 159,220.08 and 50,724

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Solution

The fourth proportional to 106,123.68, 159,220.08 and 50,724 is: 76,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,123.68 : 159,220.08 = 50,724 : x
  2. Step 2: Convert to fraction form
    106,123.68/159,220.08 = 50,724/x
  3. Step 3: Cross multiply
    106,123.68x = 159,220.08 × 50,724
  4. Step 4: Simplify right side
    106,123.68x = 8,076,279,337.92
  5. Step 5: Solve for x
    x = 8,076,279,337.92/106,123.68
  6. Step 6: Final answer
    x = 76,102.52

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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.