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Finding the Fourth Proportional to 116,714.96, 161,133 and 77,086.16

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Solution

The fourth proportional to 116,714.96, 161,133 and 77,086.16 is: 106,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714.96 : 161,133 = 77,086.16 : x
  2. Step 2: Convert to fraction form
    116,714.96/161,133 = 77,086.16/x
  3. Step 3: Cross multiply
    116,714.96x = 161,133 × 77,086.16
  4. Step 4: Simplify right side
    116,714.96x = 12,421,124,219.28
  5. Step 5: Solve for x
    x = 12,421,124,219.28/116,714.96
  6. Step 6: Final answer
    x = 106,422.73

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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.