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Finding the Fourth Proportional to 145,212.30, 217,769.33 and 55,233.66

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Solution

The fourth proportional to 145,212.30, 217,769.33 and 55,233.66 is: 82,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212.30 : 217,769.33 = 55,233.66 : x
  2. Step 2: Convert to fraction form
    145,212.30/217,769.33 = 55,233.66/x
  3. Step 3: Cross multiply
    145,212.30x = 217,769.33 × 55,233.66
  4. Step 4: Simplify right side
    145,212.30x = 12,028,196,855.48
  5. Step 5: Solve for x
    x = 12,028,196,855.48/145,212.30
  6. Step 6: Final answer
    x = 82,831.80

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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.