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Finding the Fourth Proportional to 267,428.16, 369,048 and 146,576.16

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Solution

The fourth proportional to 267,428.16, 369,048 and 146,576.16 is: 202,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,428.16 : 369,048 = 146,576.16 : x
  2. Step 2: Convert to fraction form
    267,428.16/369,048 = 146,576.16/x
  3. Step 3: Cross multiply
    267,428.16x = 369,048 × 146,576.16
  4. Step 4: Simplify right side
    267,428.16x = 54,093,638,695.68
  5. Step 5: Solve for x
    x = 54,093,638,695.68/267,428.16
  6. Step 6: Final answer
    x = 202,273.53

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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.