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Finding the Fourth Proportional to 306,146.40, 459,153.99 and 95,757

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Solution

The fourth proportional to 306,146.40, 459,153.99 and 95,757 is: 143,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,146.40 : 459,153.99 = 95,757 : x
  2. Step 2: Convert to fraction form
    306,146.40/459,153.99 = 95,757/x
  3. Step 3: Cross multiply
    306,146.40x = 459,153.99 × 95,757
  4. Step 4: Simplify right side
    306,146.40x = 43,967,208,620.43
  5. Step 5: Solve for x
    x = 43,967,208,620.43/306,146.40
  6. Step 6: Final answer
    x = 143,614.98

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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.