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Finding the Fourth Proportional to 142,857.84, 197,142.24 and 82,427.76

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Solution

The fourth proportional to 142,857.84, 197,142.24 and 82,427.76 is: 113,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,857.84 : 197,142.24 = 82,427.76 : x
  2. Step 2: Convert to fraction form
    142,857.84/197,142.24 = 82,427.76/x
  3. Step 3: Cross multiply
    142,857.84x = 197,142.24 × 82,427.76
  4. Step 4: Simplify right side
    142,857.84x = 16,249,993,244.58
  5. Step 5: Solve for x
    x = 16,249,993,244.58/142,857.84
  6. Step 6: Final answer
    x = 113,749.40

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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.