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Finding the Fourth Proportional to 106,123.76, 146,453.88 and 60,806

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Solution

The fourth proportional to 106,123.76, 146,453.88 and 60,806 is: 83,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,123.76 : 146,453.88 = 60,806 : x
  2. Step 2: Convert to fraction form
    106,123.76/146,453.88 = 60,806/x
  3. Step 3: Cross multiply
    106,123.76x = 146,453.88 × 60,806
  4. Step 4: Simplify right side
    106,123.76x = 8,905,274,627.28
  5. Step 5: Solve for x
    x = 8,905,274,627.28/106,123.76
  6. Step 6: Final answer
    x = 83,914.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.