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Finding the Fourth Proportional to 267,223.70, 368,768.75 and 146,369.31

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Solution

The fourth proportional to 267,223.70, 368,768.75 and 146,369.31 is: 201,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,223.70 : 368,768.75 = 146,369.31 : x
  2. Step 2: Convert to fraction form
    267,223.70/368,768.75 = 146,369.31/x
  3. Step 3: Cross multiply
    267,223.70x = 368,768.75 × 146,369.31
  4. Step 4: Simplify right side
    267,223.70x = 53,976,426,755.22
  5. Step 5: Solve for x
    x = 53,976,426,755.22/267,223.70
  6. Step 6: Final answer
    x = 201,989.67

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1.5x scale

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.