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Finding the Fourth Proportional to 254,009.10, 381,242.07 and 135,781.50

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Solution

The fourth proportional to 254,009.10, 381,242.07 and 135,781.50 is: 203,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,009.10 : 381,242.07 = 135,781.50 : x
  2. Step 2: Convert to fraction form
    254,009.10/381,242.07 = 135,781.50/x
  3. Step 3: Cross multiply
    254,009.10x = 381,242.07 × 135,781.50
  4. Step 4: Simplify right side
    254,009.10x = 51,765,620,127.71
  5. Step 5: Solve for x
    x = 51,765,620,127.71/254,009.10
  6. Step 6: Final answer
    x = 203,794.35

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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.