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Finding the Fourth Proportional to 271,831.60, 407,844.60 and 114,108.40

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Solution

The fourth proportional to 271,831.60, 407,844.60 and 114,108.40 is: 171,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,831.60 : 407,844.60 = 114,108.40 : x
  2. Step 2: Convert to fraction form
    271,831.60/407,844.60 = 114,108.40/x
  3. Step 3: Cross multiply
    271,831.60x = 407,844.60 × 114,108.40
  4. Step 4: Simplify right side
    271,831.60x = 46,538,494,754.64
  5. Step 5: Solve for x
    x = 46,538,494,754.64/271,831.60
  6. Step 6: Final answer
    x = 171,203.40

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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.