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Finding the Fourth Proportional to 199,492.68, 299,073.42 and 81,219.72

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Solution

The fourth proportional to 199,492.68, 299,073.42 and 81,219.72 is: 121,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,492.68 : 299,073.42 = 81,219.72 : x
  2. Step 2: Convert to fraction form
    199,492.68/299,073.42 = 81,219.72/x
  3. Step 3: Cross multiply
    199,492.68x = 299,073.42 × 81,219.72
  4. Step 4: Simplify right side
    199,492.68x = 24,290,659,431.84
  5. Step 5: Solve for x
    x = 24,290,659,431.84/199,492.68
  6. Step 6: Final answer
    x = 121,762.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.