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Finding the Fourth Proportional to 201,274.70, 278,002.67 and 146,740.50

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Solution

The fourth proportional to 201,274.70, 278,002.67 and 146,740.50 is: 202,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,274.70 : 278,002.67 = 146,740.50 : x
  2. Step 2: Convert to fraction form
    201,274.70/278,002.67 = 146,740.50/x
  3. Step 3: Cross multiply
    201,274.70x = 278,002.67 × 146,740.50
  4. Step 4: Simplify right side
    201,274.70x = 40,794,250,797.14
  5. Step 5: Solve for x
    x = 40,794,250,797.14/201,274.70
  6. Step 6: Final answer
    x = 202,679.48

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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.