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Finding the Fourth Proportional to 201,361.72, 277,886.31 and 110,724.58

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Solution

The fourth proportional to 201,361.72, 277,886.31 and 110,724.58 is: 152,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,361.72 : 277,886.31 = 110,724.58 : x
  2. Step 2: Convert to fraction form
    201,361.72/277,886.31 = 110,724.58/x
  3. Step 3: Cross multiply
    201,361.72x = 277,886.31 × 110,724.58
  4. Step 4: Simplify right side
    201,361.72x = 30,768,844,962.50
  5. Step 5: Solve for x
    x = 30,768,844,962.50/201,361.72
  6. Step 6: Final answer
    x = 152,803.84

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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.