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Finding the Fourth Proportional to 267,690.92, 369,410.55 and 146,831.77

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Solution

The fourth proportional to 267,690.92, 369,410.55 and 146,831.77 is: 202,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,690.92 : 369,410.55 = 146,831.77 : x
  2. Step 2: Convert to fraction form
    267,690.92/369,410.55 = 146,831.77/x
  3. Step 3: Cross multiply
    267,690.92x = 369,410.55 × 146,831.77
  4. Step 4: Simplify right side
    267,690.92x = 54,241,203,439.03
  5. Step 5: Solve for x
    x = 54,241,203,439.03/267,690.92
  6. Step 6: Final answer
    x = 202,626.23

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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.