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Finding the Fourth Proportional to 214,029.80, 320,430.30 and 207,885.80

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Solution

The fourth proportional to 214,029.80, 320,430.30 and 207,885.80 is: 311,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,029.80 : 320,430.30 = 207,885.80 : x
  2. Step 2: Convert to fraction form
    214,029.80/320,430.30 = 207,885.80/x
  3. Step 3: Cross multiply
    214,029.80x = 320,430.30 × 207,885.80
  4. Step 4: Simplify right side
    214,029.80x = 66,612,909,259.74
  5. Step 5: Solve for x
    x = 66,612,909,259.74/214,029.80
  6. Step 6: Final answer
    x = 311,231.94

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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.