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Finding the Fourth Proportional to 267,315.37, 368,895.20 and 146,461.24

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Solution

The fourth proportional to 267,315.37, 368,895.20 and 146,461.24 is: 202,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,315.37 : 368,895.20 = 146,461.24 : x
  2. Step 2: Convert to fraction form
    267,315.37/368,895.20 = 146,461.24/x
  3. Step 3: Cross multiply
    267,315.37x = 368,895.20 × 146,461.24
  4. Step 4: Simplify right side
    267,315.37x = 54,028,848,422.05
  5. Step 5: Solve for x
    x = 54,028,848,422.05/267,315.37
  6. Step 6: Final answer
    x = 202,116.51

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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.