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Finding the Fourth Proportional to 161,812.23, 223,308.54 and 90,192.84

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Solution

The fourth proportional to 161,812.23, 223,308.54 and 90,192.84 is: 124,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,812.23 : 223,308.54 = 90,192.84 : x
  2. Step 2: Convert to fraction form
    161,812.23/223,308.54 = 90,192.84/x
  3. Step 3: Cross multiply
    161,812.23x = 223,308.54 × 90,192.84
  4. Step 4: Simplify right side
    161,812.23x = 20,140,831,418.85
  5. Step 5: Solve for x
    x = 20,140,831,418.85/161,812.23
  6. Step 6: Final answer
    x = 124,470.39

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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.