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Finding the Fourth Proportional to 311,951.09, 430,492.78 and 168,711.14

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Solution

The fourth proportional to 311,951.09, 430,492.78 and 168,711.14 is: 232,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,951.09 : 430,492.78 = 168,711.14 : x
  2. Step 2: Convert to fraction form
    311,951.09/430,492.78 = 168,711.14/x
  3. Step 3: Cross multiply
    311,951.09x = 430,492.78 × 168,711.14
  4. Step 4: Simplify right side
    311,951.09x = 72,628,925,523.11
  5. Step 5: Solve for x
    x = 72,628,925,523.11/311,951.09
  6. Step 6: Final answer
    x = 232,821.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.