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Finding the Fourth Proportional to 142,951.77, 197,282.39 and 82,533.47

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Solution

The fourth proportional to 142,951.77, 197,282.39 and 82,533.47 is: 113,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,951.77 : 197,282.39 = 82,533.47 : x
  2. Step 2: Convert to fraction form
    142,951.77/197,282.39 = 82,533.47/x
  3. Step 3: Cross multiply
    142,951.77x = 197,282.39 × 82,533.47
  4. Step 4: Simplify right side
    142,951.77x = 16,282,398,817.51
  5. Step 5: Solve for x
    x = 16,282,398,817.51/142,951.77
  6. Step 6: Final answer
    x = 113,901.34

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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.