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Finding the Fourth Proportional to 205,033.32, 282,785.90 and 133,436.43

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Solution

The fourth proportional to 205,033.32, 282,785.90 and 133,436.43 is: 184,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,033.32 : 282,785.90 = 133,436.43 : x
  2. Step 2: Convert to fraction form
    205,033.32/282,785.90 = 133,436.43/x
  3. Step 3: Cross multiply
    205,033.32x = 282,785.90 × 133,436.43
  4. Step 4: Simplify right side
    205,033.32x = 37,733,940,283.15
  5. Step 5: Solve for x
    x = 37,733,940,283.15/205,033.32
  6. Step 6: Final answer
    x = 184,038.09

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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.