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Finding the Fourth Proportional to 295,970.49, 443,881.92 and 116,092.47

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Solution

The fourth proportional to 295,970.49, 443,881.92 and 116,092.47 is: 174,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,970.49 : 443,881.92 = 116,092.47 : x
  2. Step 2: Convert to fraction form
    295,970.49/443,881.92 = 116,092.47/x
  3. Step 3: Cross multiply
    295,970.49x = 443,881.92 × 116,092.47
  4. Step 4: Simplify right side
    295,970.49x = 51,531,348,481.14
  5. Step 5: Solve for x
    x = 51,531,348,481.14/295,970.49
  6. Step 6: Final answer
    x = 174,109.75

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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.