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Finding the Fourth Proportional to 161,841, 242,761.50 and 51,033

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Solution

The fourth proportional to 161,841, 242,761.50 and 51,033 is: 76,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,841 : 242,761.50 = 51,033 : x
  2. Step 2: Convert to fraction form
    161,841/242,761.50 = 51,033/x
  3. Step 3: Cross multiply
    161,841x = 242,761.50 × 51,033
  4. Step 4: Simplify right side
    161,841x = 12,388,847,629.50
  5. Step 5: Solve for x
    x = 12,388,847,629.50/161,841
  6. Step 6: Final answer
    x = 76,549.50

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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.