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Finding the Fourth Proportional to 214,476.78, 295,978.31 and 118,983.48

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Solution

The fourth proportional to 214,476.78, 295,978.31 and 118,983.48 is: 164,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,476.78 : 295,978.31 = 118,983.48 : x
  2. Step 2: Convert to fraction form
    214,476.78/295,978.31 = 118,983.48/x
  3. Step 3: Cross multiply
    214,476.78x = 295,978.31 × 118,983.48
  4. Step 4: Simplify right side
    214,476.78x = 35,216,528,733.40
  5. Step 5: Solve for x
    x = 35,216,528,733.40/214,476.78
  6. Step 6: Final answer
    x = 164,197.40

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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.