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Finding the Fourth Proportional to 254,475.78, 381,655.35 and 114,274.50

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Solution

The fourth proportional to 254,475.78, 381,655.35 and 114,274.50 is: 171,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,475.78 : 381,655.35 = 114,274.50 : x
  2. Step 2: Convert to fraction form
    254,475.78/381,655.35 = 114,274.50/x
  3. Step 3: Cross multiply
    254,475.78x = 381,655.35 × 114,274.50
  4. Step 4: Simplify right side
    254,475.78x = 43,613,474,293.58
  5. Step 5: Solve for x
    x = 43,613,474,293.58/254,475.78
  6. Step 6: Final answer
    x = 171,385.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.