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Finding the Fourth Proportional to 197,063.16, 295,597.17 and 56,823

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Solution

The fourth proportional to 197,063.16, 295,597.17 and 56,823 is: 85,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,063.16 : 295,597.17 = 56,823 : x
  2. Step 2: Convert to fraction form
    197,063.16/295,597.17 = 56,823/x
  3. Step 3: Cross multiply
    197,063.16x = 295,597.17 × 56,823
  4. Step 4: Simplify right side
    197,063.16x = 16,796,717,990.91
  5. Step 5: Solve for x
    x = 16,796,717,990.91/197,063.16
  6. Step 6: Final answer
    x = 85,235.20

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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.