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Finding the Fourth Proportional to 197,967.60, 296,951.40 and 48,206.70

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Solution

The fourth proportional to 197,967.60, 296,951.40 and 48,206.70 is: 72,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,967.60 : 296,951.40 = 48,206.70 : x
  2. Step 2: Convert to fraction form
    197,967.60/296,951.40 = 48,206.70/x
  3. Step 3: Cross multiply
    197,967.60x = 296,951.40 × 48,206.70
  4. Step 4: Simplify right side
    197,967.60x = 14,315,047,054.38
  5. Step 5: Solve for x
    x = 14,315,047,054.38/197,967.60
  6. Step 6: Final answer
    x = 72,310.05

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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.