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Finding the Fourth Proportional to 214,307.37, 295,745.38 and 123,667.16

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Solution

The fourth proportional to 214,307.37, 295,745.38 and 123,667.16 is: 170,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,307.37 : 295,745.38 = 123,667.16 : x
  2. Step 2: Convert to fraction form
    214,307.37/295,745.38 = 123,667.16/x
  3. Step 3: Cross multiply
    214,307.37x = 295,745.38 × 123,667.16
  4. Step 4: Simplify right side
    214,307.37x = 36,573,989,439.83
  5. Step 5: Solve for x
    x = 36,573,989,439.83/214,307.37
  6. Step 6: Final answer
    x = 170,661.37

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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.