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Finding the Fourth Proportional to 201,297.63, 277,790.73 and 116,420.16

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Solution

The fourth proportional to 201,297.63, 277,790.73 and 116,420.16 is: 160,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297.63 : 277,790.73 = 116,420.16 : x
  2. Step 2: Convert to fraction form
    201,297.63/277,790.73 = 116,420.16/x
  3. Step 3: Cross multiply
    201,297.63x = 277,790.73 × 116,420.16
  4. Step 4: Simplify right side
    201,297.63x = 32,340,441,233.12
  5. Step 5: Solve for x
    x = 32,340,441,233.12/201,297.63
  6. Step 6: Final answer
    x = 160,659.82

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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.