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Finding the Fourth Proportional to 216,864.81, 299,237.73 and 136,235.23

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Solution

The fourth proportional to 216,864.81, 299,237.73 and 136,235.23 is: 187,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,864.81 : 299,237.73 = 136,235.23 : x
  2. Step 2: Convert to fraction form
    216,864.81/299,237.73 = 136,235.23/x
  3. Step 3: Cross multiply
    216,864.81x = 299,237.73 × 136,235.23
  4. Step 4: Simplify right side
    216,864.81x = 40,766,719,712.25
  5. Step 5: Solve for x
    x = 40,766,719,712.25/216,864.81
  6. Step 6: Final answer
    x = 187,982.18

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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.