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Finding the Fourth Proportional to 214,097.40, 321,146.10 and 125,305.20

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Solution

The fourth proportional to 214,097.40, 321,146.10 and 125,305.20 is: 187,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,097.40 : 321,146.10 = 125,305.20 : x
  2. Step 2: Convert to fraction form
    214,097.40/321,146.10 = 125,305.20/x
  3. Step 3: Cross multiply
    214,097.40x = 321,146.10 × 125,305.20
  4. Step 4: Simplify right side
    214,097.40x = 40,241,276,289.72
  5. Step 5: Solve for x
    x = 40,241,276,289.72/214,097.40
  6. Step 6: Final answer
    x = 187,957.80

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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.