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Finding the Fourth Proportional to 143,143.36, 197,543.52 and 82,712

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Solution

The fourth proportional to 143,143.36, 197,543.52 and 82,712 is: 114,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,143.36 : 197,543.52 = 82,712 : x
  2. Step 2: Convert to fraction form
    143,143.36/197,543.52 = 82,712/x
  3. Step 3: Cross multiply
    143,143.36x = 197,543.52 × 82,712
  4. Step 4: Simplify right side
    143,143.36x = 16,339,219,626.24
  5. Step 5: Solve for x
    x = 16,339,219,626.24/143,143.36
  6. Step 6: Final answer
    x = 114,145.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.