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Finding the Fourth Proportional to 189,103.20, 283,654.80 and 184,437.60

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Solution

The fourth proportional to 189,103.20, 283,654.80 and 184,437.60 is: 276,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,103.20 : 283,654.80 = 184,437.60 : x
  2. Step 2: Convert to fraction form
    189,103.20/283,654.80 = 184,437.60/x
  3. Step 3: Cross multiply
    189,103.20x = 283,654.80 × 184,437.60
  4. Step 4: Simplify right side
    189,103.20x = 52,316,610,540.48
  5. Step 5: Solve for x
    x = 52,316,610,540.48/189,103.20
  6. Step 6: Final answer
    x = 276,656.40

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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.