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Finding the Fourth Proportional to 270,922.04, 406,353.90 and 81,362.60

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Solution

The fourth proportional to 270,922.04, 406,353.90 and 81,362.60 is: 122,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,922.04 : 406,353.90 = 81,362.60 : x
  2. Step 2: Convert to fraction form
    270,922.04/406,353.90 = 81,362.60/x
  3. Step 3: Cross multiply
    270,922.04x = 406,353.90 × 81,362.60
  4. Step 4: Simplify right side
    270,922.04x = 33,062,009,824.14
  5. Step 5: Solve for x
    x = 33,062,009,824.14/270,922.04
  6. Step 6: Final answer
    x = 122,035.14

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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.