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Finding the Fourth Proportional to 196,441.60, 294,662.40 and 48,697.60

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Solution

The fourth proportional to 196,441.60, 294,662.40 and 48,697.60 is: 73,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,441.60 : 294,662.40 = 48,697.60 : x
  2. Step 2: Convert to fraction form
    196,441.60/294,662.40 = 48,697.60/x
  3. Step 3: Cross multiply
    196,441.60x = 294,662.40 × 48,697.60
  4. Step 4: Simplify right side
    196,441.60x = 14,349,351,690.24
  5. Step 5: Solve for x
    x = 14,349,351,690.24/196,441.60
  6. Step 6: Final answer
    x = 73,046.40

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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.