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Finding the Fourth Proportional to 214,369.32, 295,846.38 and 118,894.68

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Solution

The fourth proportional to 214,369.32, 295,846.38 and 118,894.68 is: 164,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,369.32 : 295,846.38 = 118,894.68 : x
  2. Step 2: Convert to fraction form
    214,369.32/295,846.38 = 118,894.68/x
  3. Step 3: Cross multiply
    214,369.32x = 295,846.38 × 118,894.68
  4. Step 4: Simplify right side
    214,369.32x = 35,174,560,679.26
  5. Step 5: Solve for x
    x = 35,174,560,679.26/214,369.32
  6. Step 6: Final answer
    x = 164,083.93

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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.