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Finding the Fourth Proportional to 267,321.96, 368,898.66 and 146,457.36

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Solution

The fourth proportional to 267,321.96, 368,898.66 and 146,457.36 is: 202,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,321.96 : 368,898.66 = 146,457.36 : x
  2. Step 2: Convert to fraction form
    267,321.96/368,898.66 = 146,457.36/x
  3. Step 3: Cross multiply
    267,321.96x = 368,898.66 × 146,457.36
  4. Step 4: Simplify right side
    267,321.96x = 54,027,923,851.14
  5. Step 5: Solve for x
    x = 54,027,923,851.14/267,321.96
  6. Step 6: Final answer
    x = 202,108.06

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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.