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Finding the Fourth Proportional to 201,401.76, 277,928.88 and 110,757.72

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Solution

The fourth proportional to 201,401.76, 277,928.88 and 110,757.72 is: 152,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,401.76 : 277,928.88 = 110,757.72 : x
  2. Step 2: Convert to fraction form
    201,401.76/277,928.88 = 110,757.72/x
  3. Step 3: Cross multiply
    201,401.76x = 277,928.88 × 110,757.72
  4. Step 4: Simplify right side
    201,401.76x = 30,782,769,070.95
  5. Step 5: Solve for x
    x = 30,782,769,070.95/201,401.76
  6. Step 6: Final answer
    x = 152,842.60

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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.