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Finding the Fourth Proportional to 218,112.96, 301,006.56 and 122,649.60

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Solution

The fourth proportional to 218,112.96, 301,006.56 and 122,649.60 is: 169,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,112.96 : 301,006.56 = 122,649.60 : x
  2. Step 2: Convert to fraction form
    218,112.96/301,006.56 = 122,649.60/x
  3. Step 3: Cross multiply
    218,112.96x = 301,006.56 × 122,649.60
  4. Step 4: Simplify right side
    218,112.96x = 36,918,334,181.38
  5. Step 5: Solve for x
    x = 36,918,334,181.38/218,112.96
  6. Step 6: Final answer
    x = 169,262.45

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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.