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Finding the Fourth Proportional to 107,037.84, 147,558.36 and 75,107.76

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Solution

The fourth proportional to 107,037.84, 147,558.36 and 75,107.76 is: 103,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,037.84 : 147,558.36 = 75,107.76 : x
  2. Step 2: Convert to fraction form
    107,037.84/147,558.36 = 75,107.76/x
  3. Step 3: Cross multiply
    107,037.84x = 147,558.36 × 75,107.76
  4. Step 4: Simplify right side
    107,037.84x = 11,082,777,888.87
  5. Step 5: Solve for x
    x = 11,082,777,888.87/107,037.84
  6. Step 6: Final answer
    x = 103,540.75

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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.