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Finding the Fourth Proportional to 214,001.88, 295,315.89 and 117,201.48

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Solution

The fourth proportional to 214,001.88, 295,315.89 and 117,201.48 is: 161,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,001.88 : 295,315.89 = 117,201.48 : x
  2. Step 2: Convert to fraction form
    214,001.88/295,315.89 = 117,201.48/x
  3. Step 3: Cross multiply
    214,001.88x = 295,315.89 × 117,201.48
  4. Step 4: Simplify right side
    214,001.88x = 34,611,459,375.52
  5. Step 5: Solve for x
    x = 34,611,459,375.52/214,001.88
  6. Step 6: Final answer
    x = 161,734.37

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1.5x scale

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.