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Finding the Fourth Proportional to 142,960.40, 197,281.55 and 82,529

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Solution

The fourth proportional to 142,960.40, 197,281.55 and 82,529 is: 113,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,960.40 : 197,281.55 = 82,529 : x
  2. Step 2: Convert to fraction form
    142,960.40/197,281.55 = 82,529/x
  3. Step 3: Cross multiply
    142,960.40x = 197,281.55 × 82,529
  4. Step 4: Simplify right side
    142,960.40x = 16,281,448,627.31
  5. Step 5: Solve for x
    x = 16,281,448,627.31/142,960.40
  6. Step 6: Final answer
    x = 113,887.82

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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.