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Finding the Fourth Proportional to 214,502.72, 321,758.40 and 102,195.84

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Solution

The fourth proportional to 214,502.72, 321,758.40 and 102,195.84 is: 153,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,502.72 : 321,758.40 = 102,195.84 : x
  2. Step 2: Convert to fraction form
    214,502.72/321,758.40 = 102,195.84/x
  3. Step 3: Cross multiply
    214,502.72x = 321,758.40 × 102,195.84
  4. Step 4: Simplify right side
    214,502.72x = 32,882,369,965.06
  5. Step 5: Solve for x
    x = 32,882,369,965.06/214,502.72
  6. Step 6: Final answer
    x = 153,295.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.