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Finding the Fourth Proportional to 216,563.89, 324,721.14 and 83,426.80

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Solution

The fourth proportional to 216,563.89, 324,721.14 and 83,426.80 is: 125,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,563.89 : 324,721.14 = 83,426.80 : x
  2. Step 2: Convert to fraction form
    216,563.89/324,721.14 = 83,426.80/x
  3. Step 3: Cross multiply
    216,563.89x = 324,721.14 × 83,426.80
  4. Step 4: Simplify right side
    216,563.89x = 27,090,445,602.55
  5. Step 5: Solve for x
    x = 27,090,445,602.55/216,563.89
  6. Step 6: Final answer
    x = 125,092.16

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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.