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Finding the Fourth Proportional to 254,313.60, 381,147.84 and 114,066.56

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Solution

The fourth proportional to 254,313.60, 381,147.84 and 114,066.56 is: 170,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,313.60 : 381,147.84 = 114,066.56 : x
  2. Step 2: Convert to fraction form
    254,313.60/381,147.84 = 114,066.56/x
  3. Step 3: Cross multiply
    254,313.60x = 381,147.84 × 114,066.56
  4. Step 4: Simplify right side
    254,313.60x = 43,476,222,960.23
  5. Step 5: Solve for x
    x = 43,476,222,960.23/254,313.60
  6. Step 6: Final answer
    x = 170,955.16

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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.