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Finding the Fourth Proportional to 201,295.63, 277,787.97 and 116,418.16

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Solution

The fourth proportional to 201,295.63, 277,787.97 and 116,418.16 is: 160,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,295.63 : 277,787.97 = 116,418.16 : x
  2. Step 2: Convert to fraction form
    201,295.63/277,787.97 = 116,418.16/x
  3. Step 3: Cross multiply
    201,295.63x = 277,787.97 × 116,418.16
  4. Step 4: Simplify right side
    201,295.63x = 32,339,562,366.50
  5. Step 5: Solve for x
    x = 32,339,562,366.50/201,295.63
  6. Step 6: Final answer
    x = 160,657.06

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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.