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Finding the Fourth Proportional to 214,308.68, 320,938.11 and 150,973.16

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Solution

The fourth proportional to 214,308.68, 320,938.11 and 150,973.16 is: 226,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,308.68 : 320,938.11 = 150,973.16 : x
  2. Step 2: Convert to fraction form
    214,308.68/320,938.11 = 150,973.16/x
  3. Step 3: Cross multiply
    214,308.68x = 320,938.11 × 150,973.16
  4. Step 4: Simplify right side
    214,308.68x = 48,453,039,026.44
  5. Step 5: Solve for x
    x = 48,453,039,026.44/214,308.68
  6. Step 6: Final answer
    x = 226,089.96

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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.