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Finding the Fourth Proportional to 123,200.40, 184,541.40 and 102,464.40

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Solution

The fourth proportional to 123,200.40, 184,541.40 and 102,464.40 is: 153,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,200.40 : 184,541.40 = 102,464.40 : x
  2. Step 2: Convert to fraction form
    123,200.40/184,541.40 = 102,464.40/x
  3. Step 3: Cross multiply
    123,200.40x = 184,541.40 × 102,464.40
  4. Step 4: Simplify right side
    123,200.40x = 18,908,923,826.16
  5. Step 5: Solve for x
    x = 18,908,923,826.16/123,200.40
  6. Step 6: Final answer
    x = 153,481.03

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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.