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Finding the Fourth Proportional to 214,274.92, 295,639.57 and 168,811.81

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Solution

The fourth proportional to 214,274.92, 295,639.57 and 168,811.81 is: 232,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,274.92 : 295,639.57 = 168,811.81 : x
  2. Step 2: Convert to fraction form
    214,274.92/295,639.57 = 168,811.81/x
  3. Step 3: Cross multiply
    214,274.92x = 295,639.57 × 168,811.81
  4. Step 4: Simplify right side
    214,274.92x = 49,907,448,597.06
  5. Step 5: Solve for x
    x = 49,907,448,597.06/214,274.92
  6. Step 6: Final answer
    x = 232,913.16

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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.