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Finding the Fourth Proportional to 254,643.92, 381,963.36 and 154,831.64

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Solution

The fourth proportional to 254,643.92, 381,963.36 and 154,831.64 is: 232,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,643.92 : 381,963.36 = 154,831.64 : x
  2. Step 2: Convert to fraction form
    254,643.92/381,963.36 = 154,831.64/x
  3. Step 3: Cross multiply
    254,643.92x = 381,963.36 × 154,831.64
  4. Step 4: Simplify right side
    254,643.92x = 59,140,013,448.71
  5. Step 5: Solve for x
    x = 59,140,013,448.71/254,643.92
  6. Step 6: Final answer
    x = 232,245.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.