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Finding the Fourth Proportional to 199,492.86, 275,305.59 and 118,927.02

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Solution

The fourth proportional to 199,492.86, 275,305.59 and 118,927.02 is: 164,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,492.86 : 275,305.59 = 118,927.02 : x
  2. Step 2: Convert to fraction form
    199,492.86/275,305.59 = 118,927.02/x
  3. Step 3: Cross multiply
    199,492.86x = 275,305.59 × 118,927.02
  4. Step 4: Simplify right side
    199,492.86x = 32,741,273,408.04
  5. Step 5: Solve for x
    x = 32,741,273,408.04/199,492.86
  6. Step 6: Final answer
    x = 164,122.53

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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.