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Finding the Fourth Proportional to 214,343.96, 295,796.41 and 118,852.25

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Solution

The fourth proportional to 214,343.96, 295,796.41 and 118,852.25 is: 164,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,343.96 : 295,796.41 = 118,852.25 : x
  2. Step 2: Convert to fraction form
    214,343.96/295,796.41 = 118,852.25/x
  3. Step 3: Cross multiply
    214,343.96x = 295,796.41 × 118,852.25
  4. Step 4: Simplify right side
    214,343.96x = 35,156,067,094.31
  5. Step 5: Solve for x
    x = 35,156,067,094.31/214,343.96
  6. Step 6: Final answer
    x = 164,017.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.