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Finding the Fourth Proportional to 133,094.41, 199,543.19 and 80,492.20

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Solution

The fourth proportional to 133,094.41, 199,543.19 and 80,492.20 is: 120,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,094.41 : 199,543.19 = 80,492.20 : x
  2. Step 2: Convert to fraction form
    133,094.41/199,543.19 = 80,492.20/x
  3. Step 3: Cross multiply
    133,094.41x = 199,543.19 × 80,492.20
  4. Step 4: Simplify right side
    133,094.41x = 16,061,670,358.12
  5. Step 5: Solve for x
    x = 16,061,670,358.12/133,094.41
  6. Step 6: Final answer
    x = 120,678.77

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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.