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Finding the Fourth Proportional to 201,297.50, 277,790.55 and 116,420.03

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Solution

The fourth proportional to 201,297.50, 277,790.55 and 116,420.03 is: 160,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297.50 : 277,790.55 = 116,420.03 : x
  2. Step 2: Convert to fraction form
    201,297.50/277,790.55 = 116,420.03/x
  3. Step 3: Cross multiply
    201,297.50x = 277,790.55 × 116,420.03
  4. Step 4: Simplify right side
    201,297.50x = 32,340,384,164.72
  5. Step 5: Solve for x
    x = 32,340,384,164.72/201,297.50
  6. Step 6: Final answer
    x = 160,659.64

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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.