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Finding the Fourth Proportional to 214,086.46, 321,146.28 and 64,315.02

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Solution

The fourth proportional to 214,086.46, 321,146.28 and 64,315.02 is: 96,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,086.46 : 321,146.28 = 64,315.02 : x
  2. Step 2: Convert to fraction form
    214,086.46/321,146.28 = 64,315.02/x
  3. Step 3: Cross multiply
    214,086.46x = 321,146.28 × 64,315.02
  4. Step 4: Simplify right side
    214,086.46x = 20,654,529,421.13
  5. Step 5: Solve for x
    x = 20,654,529,421.13/214,086.46
  6. Step 6: Final answer
    x = 96,477.51

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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.