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Finding the Fourth Proportional to 123,111.96, 169,838.94 and 75,346.20

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Solution

The fourth proportional to 123,111.96, 169,838.94 and 75,346.20 is: 103,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,111.96 : 169,838.94 = 75,346.20 : x
  2. Step 2: Convert to fraction form
    123,111.96/169,838.94 = 75,346.20/x
  3. Step 3: Cross multiply
    123,111.96x = 169,838.94 × 75,346.20
  4. Step 4: Simplify right side
    123,111.96x = 12,796,718,741.03
  5. Step 5: Solve for x
    x = 12,796,718,741.03/123,111.96
  6. Step 6: Final answer
    x = 103,943.75

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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.