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Finding the Fourth Proportional to 267,772.80, 401,659.20 and 101,539.20

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Solution

The fourth proportional to 267,772.80, 401,659.20 and 101,539.20 is: 152,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,772.80 : 401,659.20 = 101,539.20 : x
  2. Step 2: Convert to fraction form
    267,772.80/401,659.20 = 101,539.20/x
  3. Step 3: Cross multiply
    267,772.80x = 401,659.20 × 101,539.20
  4. Step 4: Simplify right side
    267,772.80x = 40,784,153,840.64
  5. Step 5: Solve for x
    x = 40,784,153,840.64/267,772.80
  6. Step 6: Final answer
    x = 152,308.80

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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.