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Finding the Fourth Proportional to 201,142.68, 277,626.78 and 116,247.48

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Solution

The fourth proportional to 201,142.68, 277,626.78 and 116,247.48 is: 160,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.68 : 277,626.78 = 116,247.48 : x
  2. Step 2: Convert to fraction form
    201,142.68/277,626.78 = 116,247.48/x
  3. Step 3: Cross multiply
    201,142.68x = 277,626.78 × 116,247.48
  4. Step 4: Simplify right side
    201,142.68x = 32,273,413,555.51
  5. Step 5: Solve for x
    x = 32,273,413,555.51/201,142.68
  6. Step 6: Final answer
    x = 160,450.35

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1.5x scale

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.