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Finding the Fourth Proportional to 116,982, 161,378.01 and 76,678.02

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Solution

The fourth proportional to 116,982, 161,378.01 and 76,678.02 is: 105,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,982 : 161,378.01 = 76,678.02 : x
  2. Step 2: Convert to fraction form
    116,982/161,378.01 = 76,678.02/x
  3. Step 3: Cross multiply
    116,982x = 161,378.01 × 76,678.02
  4. Step 4: Simplify right side
    116,982x = 12,374,146,278.34
  5. Step 5: Solve for x
    x = 12,374,146,278.34/116,982
  6. Step 6: Final answer
    x = 105,778.21

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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.