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Finding the Fourth Proportional to 203,784, 281,247.84 and 114,360

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Solution

The fourth proportional to 203,784, 281,247.84 and 114,360 is: 157,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,784 : 281,247.84 = 114,360 : x
  2. Step 2: Convert to fraction form
    203,784/281,247.84 = 114,360/x
  3. Step 3: Cross multiply
    203,784x = 281,247.84 × 114,360
  4. Step 4: Simplify right side
    203,784x = 32,163,502,982.40
  5. Step 5: Solve for x
    x = 32,163,502,982.40/203,784
  6. Step 6: Final answer
    x = 157,831.35

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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.