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Finding the Fourth Proportional to 219,565.89, 302,961.06 and 122,771.50

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Solution

The fourth proportional to 219,565.89, 302,961.06 and 122,771.50 is: 169,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,565.89 : 302,961.06 = 122,771.50 : x
  2. Step 2: Convert to fraction form
    219,565.89/302,961.06 = 122,771.50/x
  3. Step 3: Cross multiply
    219,565.89x = 302,961.06 × 122,771.50
  4. Step 4: Simplify right side
    219,565.89x = 37,194,983,020.39
  5. Step 5: Solve for x
    x = 37,194,983,020.39/219,565.89
  6. Step 6: Final answer
    x = 169,402.37

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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.