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Finding the Fourth Proportional to 134,464.68, 201,692.16 and 40,968

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Solution

The fourth proportional to 134,464.68, 201,692.16 and 40,968 is: 61,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,464.68 : 201,692.16 = 40,968 : x
  2. Step 2: Convert to fraction form
    134,464.68/201,692.16 = 40,968/x
  3. Step 3: Cross multiply
    134,464.68x = 201,692.16 × 40,968
  4. Step 4: Simplify right side
    134,464.68x = 8,262,924,410.88
  5. Step 5: Solve for x
    x = 8,262,924,410.88/134,464.68
  6. Step 6: Final answer
    x = 61,450.52

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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.