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Finding the Fourth Proportional to 197,854.60, 297,000.60 and 123,059.20

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Solution

The fourth proportional to 197,854.60, 297,000.60 and 123,059.20 is: 184,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,854.60 : 297,000.60 = 123,059.20 : x
  2. Step 2: Convert to fraction form
    197,854.60/297,000.60 = 123,059.20/x
  3. Step 3: Cross multiply
    197,854.60x = 297,000.60 × 123,059.20
  4. Step 4: Simplify right side
    197,854.60x = 36,548,656,235.52
  5. Step 5: Solve for x
    x = 36,548,656,235.52/197,854.60
  6. Step 6: Final answer
    x = 184,724.82

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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.