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Finding the Fourth Proportional to 116,289.84, 160,497.52 and 70,994.24

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Solution

The fourth proportional to 116,289.84, 160,497.52 and 70,994.24 is: 97,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,289.84 : 160,497.52 = 70,994.24 : x
  2. Step 2: Convert to fraction form
    116,289.84/160,497.52 = 70,994.24/x
  3. Step 3: Cross multiply
    116,289.84x = 160,497.52 × 70,994.24
  4. Step 4: Simplify right side
    116,289.84x = 11,394,399,454.28
  5. Step 5: Solve for x
    x = 11,394,399,454.28/116,289.84
  6. Step 6: Final answer
    x = 97,982.76

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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.