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Finding the Fourth Proportional to 254,692.68, 382,052.10 and 65,154.69

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Solution

The fourth proportional to 254,692.68, 382,052.10 and 65,154.69 is: 97,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,692.68 : 382,052.10 = 65,154.69 : x
  2. Step 2: Convert to fraction form
    254,692.68/382,052.10 = 65,154.69/x
  3. Step 3: Cross multiply
    254,692.68x = 382,052.10 × 65,154.69
  4. Step 4: Simplify right side
    254,692.68x = 24,892,485,125.91
  5. Step 5: Solve for x
    x = 24,892,485,125.91/254,692.68
  6. Step 6: Final answer
    x = 97,735.38

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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.