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Finding the Fourth Proportional to 119,448.92, 164,839.32 and 65,737.40

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Solution

The fourth proportional to 119,448.92, 164,839.32 and 65,737.40 is: 90,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,448.92 : 164,839.32 = 65,737.40 : x
  2. Step 2: Convert to fraction form
    119,448.92/164,839.32 = 65,737.40/x
  3. Step 3: Cross multiply
    119,448.92x = 164,839.32 × 65,737.40
  4. Step 4: Simplify right side
    119,448.92x = 10,836,108,314.57
  5. Step 5: Solve for x
    x = 10,836,108,314.57/119,448.92
  6. Step 6: Final answer
    x = 90,717.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.