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Finding the Fourth Proportional to 216,044.80, 324,412.80 and 146,233.60

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Solution

The fourth proportional to 216,044.80, 324,412.80 and 146,233.60 is: 219,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,044.80 : 324,412.80 = 146,233.60 : x
  2. Step 2: Convert to fraction form
    216,044.80/324,412.80 = 146,233.60/x
  3. Step 3: Cross multiply
    216,044.80x = 324,412.80 × 146,233.60
  4. Step 4: Simplify right side
    216,044.80x = 47,440,051,630.08
  5. Step 5: Solve for x
    x = 47,440,051,630.08/216,044.80
  6. Step 6: Final answer
    x = 219,584.33

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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.