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Finding the Fourth Proportional to 306,013.80, 459,021.02 and 95,652.84

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Solution

The fourth proportional to 306,013.80, 459,021.02 and 95,652.84 is: 143,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,013.80 : 459,021.02 = 95,652.84 : x
  2. Step 2: Convert to fraction form
    306,013.80/459,021.02 = 95,652.84/x
  3. Step 3: Cross multiply
    306,013.80x = 459,021.02 × 95,652.84
  4. Step 4: Simplify right side
    306,013.80x = 43,906,664,182.70
  5. Step 5: Solve for x
    x = 43,906,664,182.70/306,013.80
  6. Step 6: Final answer
    x = 143,479.36

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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.