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Finding the Fourth Proportional to 216,857.02, 299,269.41 and 121,363.49

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Solution

The fourth proportional to 216,857.02, 299,269.41 and 121,363.49 is: 167,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,857.02 : 299,269.41 = 121,363.49 : x
  2. Step 2: Convert to fraction form
    216,857.02/299,269.41 = 121,363.49/x
  3. Step 3: Cross multiply
    216,857.02x = 299,269.41 × 121,363.49
  4. Step 4: Simplify right side
    216,857.02x = 36,320,380,047.84
  5. Step 5: Solve for x
    x = 36,320,380,047.84/216,857.02
  6. Step 6: Final answer
    x = 167,485.38

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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.