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Finding the Fourth Proportional to 214,816.34, 321,733.67 and 102,575.16

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Solution

The fourth proportional to 214,816.34, 321,733.67 and 102,575.16 is: 153,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,816.34 : 321,733.67 = 102,575.16 : x
  2. Step 2: Convert to fraction form
    214,816.34/321,733.67 = 102,575.16/x
  3. Step 3: Cross multiply
    214,816.34x = 321,733.67 × 102,575.16
  4. Step 4: Simplify right side
    214,816.34x = 33,001,882,164.76
  5. Step 5: Solve for x
    x = 33,001,882,164.76/214,816.34
  6. Step 6: Final answer
    x = 153,628.36

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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.