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Finding the Fourth Proportional to 306,144.46, 459,258.15 and 106,439.01

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Solution

The fourth proportional to 306,144.46, 459,258.15 and 106,439.01 is: 159,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,144.46 : 459,258.15 = 106,439.01 : x
  2. Step 2: Convert to fraction form
    306,144.46/459,258.15 = 106,439.01/x
  3. Step 3: Cross multiply
    306,144.46x = 459,258.15 × 106,439.01
  4. Step 4: Simplify right side
    306,144.46x = 48,882,984,080.69
  5. Step 5: Solve for x
    x = 48,882,984,080.69/306,144.46
  6. Step 6: Final answer
    x = 159,672.93

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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.