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Finding the Fourth Proportional to 196,306.60, 294,459.90 and 48,562.60

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Solution

The fourth proportional to 196,306.60, 294,459.90 and 48,562.60 is: 72,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,306.60 : 294,459.90 = 48,562.60 : x
  2. Step 2: Convert to fraction form
    196,306.60/294,459.90 = 48,562.60/x
  3. Step 3: Cross multiply
    196,306.60x = 294,459.90 × 48,562.60
  4. Step 4: Simplify right side
    196,306.60x = 14,299,738,339.74
  5. Step 5: Solve for x
    x = 14,299,738,339.74/196,306.60
  6. Step 6: Final answer
    x = 72,843.90

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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.