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Finding the Fourth Proportional to 119,445.84, 164,834.94 and 65,734.38

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Solution

The fourth proportional to 119,445.84, 164,834.94 and 65,734.38 is: 90,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,445.84 : 164,834.94 = 65,734.38 : x
  2. Step 2: Convert to fraction form
    119,445.84/164,834.94 = 65,734.38/x
  3. Step 3: Cross multiply
    119,445.84x = 164,834.94 × 65,734.38
  4. Step 4: Simplify right side
    119,445.84x = 10,835,322,583.24
  5. Step 5: Solve for x
    x = 10,835,322,583.24/119,445.84
  6. Step 6: Final answer
    x = 90,713.27

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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.