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Finding the Fourth Proportional to 214,393.76, 295,843.86 and 118,900.16

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Solution

The fourth proportional to 214,393.76, 295,843.86 and 118,900.16 is: 164,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,393.76 : 295,843.86 = 118,900.16 : x
  2. Step 2: Convert to fraction form
    214,393.76/295,843.86 = 118,900.16/x
  3. Step 3: Cross multiply
    214,393.76x = 295,843.86 × 118,900.16
  4. Step 4: Simplify right side
    214,393.76x = 35,175,882,289.02
  5. Step 5: Solve for x
    x = 35,175,882,289.02/214,393.76
  6. Step 6: Final answer
    x = 164,071.39

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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.