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Finding the Fourth Proportional to 106,757.37, 147,339.81 and 61,434.42

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Solution

The fourth proportional to 106,757.37, 147,339.81 and 61,434.42 is: 84,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,757.37 : 147,339.81 = 61,434.42 : x
  2. Step 2: Convert to fraction form
    106,757.37/147,339.81 = 61,434.42/x
  3. Step 3: Cross multiply
    106,757.37x = 147,339.81 × 61,434.42
  4. Step 4: Simplify right side
    106,757.37x = 9,051,735,770.26
  5. Step 5: Solve for x
    x = 9,051,735,770.26/106,757.37
  6. Step 6: Final answer
    x = 84,787.92

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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.