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Finding the Fourth Proportional to 214,448.41, 321,675.35 and 56,675.50

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Solution

The fourth proportional to 214,448.41, 321,675.35 and 56,675.50 is: 85,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,448.41 : 321,675.35 = 56,675.50 : x
  2. Step 2: Convert to fraction form
    214,448.41/321,675.35 = 56,675.50/x
  3. Step 3: Cross multiply
    214,448.41x = 321,675.35 × 56,675.50
  4. Step 4: Simplify right side
    214,448.41x = 18,231,111,440.61
  5. Step 5: Solve for x
    x = 18,231,111,440.61/214,448.41
  6. Step 6: Final answer
    x = 85,013.97

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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.