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Finding the Fourth Proportional to 267,012.86, 368,478.29 and 146,161.86

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Solution

The fourth proportional to 267,012.86, 368,478.29 and 146,161.86 is: 201,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,012.86 : 368,478.29 = 146,161.86 : x
  2. Step 2: Convert to fraction form
    267,012.86/368,478.29 = 146,161.86/x
  3. Step 3: Cross multiply
    267,012.86x = 368,478.29 × 146,161.86
  4. Step 4: Simplify right side
    267,012.86x = 53,857,471,505.21
  5. Step 5: Solve for x
    x = 53,857,471,505.21/267,012.86
  6. Step 6: Final answer
    x = 201,703.67

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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.