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Finding the Fourth Proportional to 214,371.32, 295,849.14 and 118,896.68

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Solution

The fourth proportional to 214,371.32, 295,849.14 and 118,896.68 is: 164,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,371.32 : 295,849.14 = 118,896.68 : x
  2. Step 2: Convert to fraction form
    214,371.32/295,849.14 = 118,896.68/x
  3. Step 3: Cross multiply
    214,371.32x = 295,849.14 × 118,896.68
  4. Step 4: Simplify right side
    214,371.32x = 35,175,480,526.86
  5. Step 5: Solve for x
    x = 35,175,480,526.86/214,371.32
  6. Step 6: Final answer
    x = 164,086.69

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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.