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Finding the Fourth Proportional to 199,655.74, 275,492.42 and 117,972.64

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Solution

The fourth proportional to 199,655.74, 275,492.42 and 117,972.64 is: 162,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,655.74 : 275,492.42 = 117,972.64 : x
  2. Step 2: Convert to fraction form
    199,655.74/275,492.42 = 117,972.64/x
  3. Step 3: Cross multiply
    199,655.74x = 275,492.42 × 117,972.64
  4. Step 4: Simplify right side
    199,655.74x = 32,500,568,087.39
  5. Step 5: Solve for x
    x = 32,500,568,087.39/199,655.74
  6. Step 6: Final answer
    x = 162,783.04

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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.