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Finding the Fourth Proportional to 211,573.43, 291,971.31 and 120,931.34

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Solution

The fourth proportional to 211,573.43, 291,971.31 and 120,931.34 is: 166,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,573.43 : 291,971.31 = 120,931.34 : x
  2. Step 2: Convert to fraction form
    211,573.43/291,971.31 = 120,931.34/x
  3. Step 3: Cross multiply
    211,573.43x = 291,971.31 × 120,931.34
  4. Step 4: Simplify right side
    211,573.43x = 35,308,481,759.86
  5. Step 5: Solve for x
    x = 35,308,481,759.86/211,573.43
  6. Step 6: Final answer
    x = 166,885.24

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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.