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Finding the Fourth Proportional to 219,086.34, 302,331.87 and 123,589.50

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Solution

The fourth proportional to 219,086.34, 302,331.87 and 123,589.50 is: 170,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,086.34 : 302,331.87 = 123,589.50 : x
  2. Step 2: Convert to fraction form
    219,086.34/302,331.87 = 123,589.50/x
  3. Step 3: Cross multiply
    219,086.34x = 302,331.87 × 123,589.50
  4. Step 4: Simplify right side
    219,086.34x = 37,365,044,647.37
  5. Step 5: Solve for x
    x = 37,365,044,647.37/219,086.34
  6. Step 6: Final answer
    x = 170,549.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.