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Finding the Fourth Proportional to 106,246.80, 159,333.48 and 47,123.84

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Solution

The fourth proportional to 106,246.80, 159,333.48 and 47,123.84 is: 70,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,246.80 : 159,333.48 = 47,123.84 : x
  2. Step 2: Convert to fraction form
    106,246.80/159,333.48 = 47,123.84/x
  3. Step 3: Cross multiply
    106,246.80x = 159,333.48 × 47,123.84
  4. Step 4: Simplify right side
    106,246.80x = 7,508,405,418.16
  5. Step 5: Solve for x
    x = 7,508,405,418.16/106,246.80
  6. Step 6: Final answer
    x = 70,669.47

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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.