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Finding the Fourth Proportional to 134,692.54, 202,038.81 and 74,757.81

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Solution

The fourth proportional to 134,692.54, 202,038.81 and 74,757.81 is: 112,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,692.54 : 202,038.81 = 74,757.81 : x
  2. Step 2: Convert to fraction form
    134,692.54/202,038.81 = 74,757.81/x
  3. Step 3: Cross multiply
    134,692.54x = 202,038.81 × 74,757.81
  4. Step 4: Simplify right side
    134,692.54x = 15,103,978,970.61
  5. Step 5: Solve for x
    x = 15,103,978,970.61/134,692.54
  6. Step 6: Final answer
    x = 112,136.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.