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Finding the Fourth Proportional to 214,419.24, 295,908 and 118,919.52

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Solution

The fourth proportional to 214,419.24, 295,908 and 118,919.52 is: 164,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,419.24 : 295,908 = 118,919.52 : x
  2. Step 2: Convert to fraction form
    214,419.24/295,908 = 118,919.52/x
  3. Step 3: Cross multiply
    214,419.24x = 295,908 × 118,919.52
  4. Step 4: Simplify right side
    214,419.24x = 35,189,237,324.16
  5. Step 5: Solve for x
    x = 35,189,237,324.16/214,419.24
  6. Step 6: Final answer
    x = 164,114.18

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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.