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Finding the Fourth Proportional to 273,097.40, 409,905.30 and 168,121.40

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Solution

The fourth proportional to 273,097.40, 409,905.30 and 168,121.40 is: 252,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,097.40 : 409,905.30 = 168,121.40 : x
  2. Step 2: Convert to fraction form
    273,097.40/409,905.30 = 168,121.40/x
  3. Step 3: Cross multiply
    273,097.40x = 409,905.30 × 168,121.40
  4. Step 4: Simplify right side
    273,097.40x = 68,913,852,903.42
  5. Step 5: Solve for x
    x = 68,913,852,903.42/273,097.40
  6. Step 6: Final answer
    x = 252,341.67

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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.