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Finding the Fourth Proportional to 214,811.88, 296,523.06 and 143,165.76

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Solution

The fourth proportional to 214,811.88, 296,523.06 and 143,165.76 is: 197,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,811.88 : 296,523.06 = 143,165.76 : x
  2. Step 2: Convert to fraction form
    214,811.88/296,523.06 = 143,165.76/x
  3. Step 3: Cross multiply
    214,811.88x = 296,523.06 × 143,165.76
  4. Step 4: Simplify right side
    214,811.88x = 42,451,949,242.43
  5. Step 5: Solve for x
    x = 42,451,949,242.43/214,811.88
  6. Step 6: Final answer
    x = 197,623.84

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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.