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Finding the Fourth Proportional to 214,810.21, 322,306.44 and 114,944.50

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Solution

The fourth proportional to 214,810.21, 322,306.44 and 114,944.50 is: 172,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,810.21 : 322,306.44 = 114,944.50 : x
  2. Step 2: Convert to fraction form
    214,810.21/322,306.44 = 114,944.50/x
  3. Step 3: Cross multiply
    214,810.21x = 322,306.44 × 114,944.50
  4. Step 4: Simplify right side
    214,810.21x = 37,047,352,592.58
  5. Step 5: Solve for x
    x = 37,047,352,592.58/214,810.21
  6. Step 6: Final answer
    x = 172,465.51

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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.