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Finding the Fourth Proportional to 199,881.48, 275,803.20 and 119,341.56

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Solution

The fourth proportional to 199,881.48, 275,803.20 and 119,341.56 is: 164,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,881.48 : 275,803.20 = 119,341.56 : x
  2. Step 2: Convert to fraction form
    199,881.48/275,803.20 = 119,341.56/x
  3. Step 3: Cross multiply
    199,881.48x = 275,803.20 × 119,341.56
  4. Step 4: Simplify right side
    199,881.48x = 32,914,784,140.99
  5. Step 5: Solve for x
    x = 32,914,784,140.99/199,881.48
  6. Step 6: Final answer
    x = 164,671.51

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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.