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Finding the Fourth Proportional to 256,392.36, 384,346.62 and 90,089.64

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Solution

The fourth proportional to 256,392.36, 384,346.62 and 90,089.64 is: 135,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,392.36 : 384,346.62 = 90,089.64 : x
  2. Step 2: Convert to fraction form
    256,392.36/384,346.62 = 90,089.64/x
  3. Step 3: Cross multiply
    256,392.36x = 384,346.62 × 90,089.64
  4. Step 4: Simplify right side
    256,392.36x = 34,625,648,631.02
  5. Step 5: Solve for x
    x = 34,625,648,631.02/256,392.36
  6. Step 6: Final answer
    x = 135,049.46

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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.