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Finding the Fourth Proportional to 214,528.92, 321,808.77 and 56,755.50

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Solution

The fourth proportional to 214,528.92, 321,808.77 and 56,755.50 is: 85,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,528.92 : 321,808.77 = 56,755.50 : x
  2. Step 2: Convert to fraction form
    214,528.92/321,808.77 = 56,755.50/x
  3. Step 3: Cross multiply
    214,528.92x = 321,808.77 × 56,755.50
  4. Step 4: Simplify right side
    214,528.92x = 18,264,417,645.74
  5. Step 5: Solve for x
    x = 18,264,417,645.74/214,528.92
  6. Step 6: Final answer
    x = 85,137.32

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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.