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Finding the Fourth Proportional to 214,527.61, 321,843.44 and 64,758.96

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Solution

The fourth proportional to 214,527.61, 321,843.44 and 64,758.96 is: 97,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,527.61 : 321,843.44 = 64,758.96 : x
  2. Step 2: Convert to fraction form
    214,527.61/321,843.44 = 64,758.96/x
  3. Step 3: Cross multiply
    214,527.61x = 321,843.44 × 64,758.96
  4. Step 4: Simplify right side
    214,527.61x = 20,842,246,619.12
  5. Step 5: Solve for x
    x = 20,842,246,619.12/214,527.61
  6. Step 6: Final answer
    x = 97,154.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.