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Finding the Fourth Proportional to 142,960, 197,284.96 and 83,355.52

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Solution

The fourth proportional to 142,960, 197,284.96 and 83,355.52 is: 115,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,960 : 197,284.96 = 83,355.52 : x
  2. Step 2: Convert to fraction form
    142,960/197,284.96 = 83,355.52/x
  3. Step 3: Cross multiply
    142,960x = 197,284.96 × 83,355.52
  4. Step 4: Simplify right side
    142,960x = 16,444,790,428.98
  5. Step 5: Solve for x
    x = 16,444,790,428.98/142,960
  6. Step 6: Final answer
    x = 115,030.71

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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.