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Finding the Fourth Proportional to 161,632.10, 242,531.22 and 71,736.42

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Solution

The fourth proportional to 161,632.10, 242,531.22 and 71,736.42 is: 107,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,632.10 : 242,531.22 = 71,736.42 : x
  2. Step 2: Convert to fraction form
    161,632.10/242,531.22 = 71,736.42/x
  3. Step 3: Cross multiply
    161,632.10x = 242,531.22 × 71,736.42
  4. Step 4: Simplify right side
    161,632.10x = 17,398,321,461.03
  5. Step 5: Solve for x
    x = 17,398,321,461.03/161,632.10
  6. Step 6: Final answer
    x = 107,641.50

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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.