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Finding the Fourth Proportional to 267,622.32, 369,319.31 and 146,764.45

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Solution

The fourth proportional to 267,622.32, 369,319.31 and 146,764.45 is: 202,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,622.32 : 369,319.31 = 146,764.45 : x
  2. Step 2: Convert to fraction form
    267,622.32/369,319.31 = 146,764.45/x
  3. Step 3: Cross multiply
    267,622.32x = 369,319.31 × 146,764.45
  4. Step 4: Simplify right side
    267,622.32x = 54,202,945,406.53
  5. Step 5: Solve for x
    x = 54,202,945,406.53/267,622.32
  6. Step 6: Final answer
    x = 202,535.22

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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.