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Finding the Fourth Proportional to 193,027.60, 289,541.40 and 123,216.40

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Solution

The fourth proportional to 193,027.60, 289,541.40 and 123,216.40 is: 184,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,027.60 : 289,541.40 = 123,216.40 : x
  2. Step 2: Convert to fraction form
    193,027.60/289,541.40 = 123,216.40/x
  3. Step 3: Cross multiply
    193,027.60x = 289,541.40 × 123,216.40
  4. Step 4: Simplify right side
    193,027.60x = 35,676,248,958.96
  5. Step 5: Solve for x
    x = 35,676,248,958.96/193,027.60
  6. Step 6: Final answer
    x = 184,824.60

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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.