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Finding the Fourth Proportional to 218,822.10, 301,974.26 and 118,220.10

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Solution

The fourth proportional to 218,822.10, 301,974.26 and 118,220.10 is: 163,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,822.10 : 301,974.26 = 118,220.10 : x
  2. Step 2: Convert to fraction form
    218,822.10/301,974.26 = 118,220.10/x
  3. Step 3: Cross multiply
    218,822.10x = 301,974.26 × 118,220.10
  4. Step 4: Simplify right side
    218,822.10x = 35,699,426,623.53
  5. Step 5: Solve for x
    x = 35,699,426,623.53/218,822.10
  6. Step 6: Final answer
    x = 163,143.61

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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.