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Finding the Fourth Proportional to 131,870, 197,814.12 and 52,984.16

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Solution

The fourth proportional to 131,870, 197,814.12 and 52,984.16 is: 79,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,870 : 197,814.12 = 52,984.16 : x
  2. Step 2: Convert to fraction form
    131,870/197,814.12 = 52,984.16/x
  3. Step 3: Cross multiply
    131,870x = 197,814.12 × 52,984.16
  4. Step 4: Simplify right side
    131,870x = 10,481,014,984.34
  5. Step 5: Solve for x
    x = 10,481,014,984.34/131,870
  6. Step 6: Final answer
    x = 79,479.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.