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Finding the Fourth Proportional to 216,090.48, 324,187.56 and 82,971.84

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Solution

The fourth proportional to 216,090.48, 324,187.56 and 82,971.84 is: 124,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,090.48 : 324,187.56 = 82,971.84 : x
  2. Step 2: Convert to fraction form
    216,090.48/324,187.56 = 82,971.84/x
  3. Step 3: Cross multiply
    216,090.48x = 324,187.56 × 82,971.84
  4. Step 4: Simplify right side
    216,090.48x = 26,898,438,358.31
  5. Step 5: Solve for x
    x = 26,898,438,358.31/216,090.48
  6. Step 6: Final answer
    x = 124,477.66

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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.