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Finding the Fourth Proportional to 201,361.77, 277,885.74 and 110,724.27

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Solution

The fourth proportional to 201,361.77, 277,885.74 and 110,724.27 is: 152,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,361.77 : 277,885.74 = 110,724.27 : x
  2. Step 2: Convert to fraction form
    201,361.77/277,885.74 = 110,724.27/x
  3. Step 3: Cross multiply
    201,361.77x = 277,885.74 × 110,724.27
  4. Step 4: Simplify right side
    201,361.77x = 30,768,695,704.91
  5. Step 5: Solve for x
    x = 30,768,695,704.91/201,361.77
  6. Step 6: Final answer
    x = 152,803.07

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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.