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Finding the Fourth Proportional to 161,296.86, 222,602.14 and 96,768.51

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Solution

The fourth proportional to 161,296.86, 222,602.14 and 96,768.51 is: 133,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,296.86 : 222,602.14 = 96,768.51 : x
  2. Step 2: Convert to fraction form
    161,296.86/222,602.14 = 96,768.51/x
  3. Step 3: Cross multiply
    161,296.86x = 222,602.14 × 96,768.51
  4. Step 4: Simplify right side
    161,296.86x = 21,540,877,404.63
  5. Step 5: Solve for x
    x = 21,540,877,404.63/161,296.86
  6. Step 6: Final answer
    x = 133,548.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.