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Finding the Fourth Proportional to 253,783.52, 380,847.54 and 135,539.72

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Solution

The fourth proportional to 253,783.52, 380,847.54 and 135,539.72 is: 203,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,783.52 : 380,847.54 = 135,539.72 : x
  2. Step 2: Convert to fraction form
    253,783.52/380,847.54 = 135,539.72/x
  3. Step 3: Cross multiply
    253,783.52x = 380,847.54 × 135,539.72
  4. Step 4: Simplify right side
    253,783.52x = 51,619,968,934.29
  5. Step 5: Solve for x
    x = 51,619,968,934.29/253,783.52
  6. Step 6: Final answer
    x = 203,401.58

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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.