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Finding the Fourth Proportional to 158,998.41, 238,606.96 and 65,504.16

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Solution

The fourth proportional to 158,998.41, 238,606.96 and 65,504.16 is: 98,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,998.41 : 238,606.96 = 65,504.16 : x
  2. Step 2: Convert to fraction form
    158,998.41/238,606.96 = 65,504.16/x
  3. Step 3: Cross multiply
    158,998.41x = 238,606.96 × 65,504.16
  4. Step 4: Simplify right side
    158,998.41x = 15,629,747,549.24
  5. Step 5: Solve for x
    x = 15,629,747,549.24/158,998.41
  6. Step 6: Final answer
    x = 98,301.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.