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Finding the Fourth Proportional to 123,832.14, 170,892.36 and 70,116

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Solution

The fourth proportional to 123,832.14, 170,892.36 and 70,116 is: 96,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,832.14 : 170,892.36 = 70,116 : x
  2. Step 2: Convert to fraction form
    123,832.14/170,892.36 = 70,116/x
  3. Step 3: Cross multiply
    123,832.14x = 170,892.36 × 70,116
  4. Step 4: Simplify right side
    123,832.14x = 11,982,288,713.76
  5. Step 5: Solve for x
    x = 11,982,288,713.76/123,832.14
  6. Step 6: Final answer
    x = 96,762.35

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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.