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Finding the Fourth Proportional to 161,328.81, 241,724.12 and 113,866.13

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Solution

The fourth proportional to 161,328.81, 241,724.12 and 113,866.13 is: 170,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,328.81 : 241,724.12 = 113,866.13 : x
  2. Step 2: Convert to fraction form
    161,328.81/241,724.12 = 113,866.13/x
  3. Step 3: Cross multiply
    161,328.81x = 241,724.12 × 113,866.13
  4. Step 4: Simplify right side
    161,328.81x = 27,524,190,072.06
  5. Step 5: Solve for x
    x = 27,524,190,072.06/161,328.81
  6. Step 6: Final answer
    x = 170,609.27

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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.