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Finding the Fourth Proportional to 306,554.13, 459,850.64 and 96,200.37

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Solution

The fourth proportional to 306,554.13, 459,850.64 and 96,200.37 is: 144,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,554.13 : 459,850.64 = 96,200.37 : x
  2. Step 2: Convert to fraction form
    306,554.13/459,850.64 = 96,200.37/x
  3. Step 3: Cross multiply
    306,554.13x = 459,850.64 × 96,200.37
  4. Step 4: Simplify right side
    306,554.13x = 44,237,801,231.74
  5. Step 5: Solve for x
    x = 44,237,801,231.74/306,554.13
  6. Step 6: Final answer
    x = 144,306.66

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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.