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Finding the Fourth Proportional to 142,846.08, 197,126.04 and 82,416

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Solution

The fourth proportional to 142,846.08, 197,126.04 and 82,416 is: 113,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,846.08 : 197,126.04 = 82,416 : x
  2. Step 2: Convert to fraction form
    142,846.08/197,126.04 = 82,416/x
  3. Step 3: Cross multiply
    142,846.08x = 197,126.04 × 82,416
  4. Step 4: Simplify right side
    142,846.08x = 16,246,339,712.64
  5. Step 5: Solve for x
    x = 16,246,339,712.64/142,846.08
  6. Step 6: Final answer
    x = 113,733.19

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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.