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Finding the Fourth Proportional to 267,682.32, 369,411.94 and 146,828.70

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Solution

The fourth proportional to 267,682.32, 369,411.94 and 146,828.70 is: 202,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,682.32 : 369,411.94 = 146,828.70 : x
  2. Step 2: Convert to fraction form
    267,682.32/369,411.94 = 146,828.70/x
  3. Step 3: Cross multiply
    267,682.32x = 369,411.94 × 146,828.70
  4. Step 4: Simplify right side
    267,682.32x = 54,240,275,098.21
  5. Step 5: Solve for x
    x = 54,240,275,098.21/267,682.32
  6. Step 6: Final answer
    x = 202,629.28

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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.