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Finding the Fourth Proportional to 199,892.88, 275,811.48 and 119,294.64

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Solution

The fourth proportional to 199,892.88, 275,811.48 and 119,294.64 is: 164,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,892.88 : 275,811.48 = 119,294.64 : x
  2. Step 2: Convert to fraction form
    199,892.88/275,811.48 = 119,294.64/x
  3. Step 3: Cross multiply
    199,892.88x = 275,811.48 × 119,294.64
  4. Step 4: Simplify right side
    199,892.88x = 32,902,831,214.47
  5. Step 5: Solve for x
    x = 32,902,831,214.47/199,892.88
  6. Step 6: Final answer
    x = 164,602.32

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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.