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Finding the Fourth Proportional to 197,311.80, 295,967.70 and 182,105.40

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Solution

The fourth proportional to 197,311.80, 295,967.70 and 182,105.40 is: 273,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,311.80 : 295,967.70 = 182,105.40 : x
  2. Step 2: Convert to fraction form
    197,311.80/295,967.70 = 182,105.40/x
  3. Step 3: Cross multiply
    197,311.80x = 295,967.70 × 182,105.40
  4. Step 4: Simplify right side
    197,311.80x = 53,897,316,395.58
  5. Step 5: Solve for x
    x = 53,897,316,395.58/197,311.80
  6. Step 6: Final answer
    x = 273,158.10

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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.