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Finding the Fourth Proportional to 267,314.00, 368,893.31 and 146,459.87

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Solution

The fourth proportional to 267,314.00, 368,893.31 and 146,459.87 is: 202,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,314.00 : 368,893.31 = 146,459.87 : x
  2. Step 2: Convert to fraction form
    267,314.00/368,893.31 = 146,459.87/x
  3. Step 3: Cross multiply
    267,314.00x = 368,893.31 × 146,459.87
  4. Step 4: Simplify right side
    267,314.00x = 54,028,063,649.70
  5. Step 5: Solve for x
    x = 54,028,063,649.70/267,314.00
  6. Step 6: Final answer
    x = 202,114.61

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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.