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Finding the Fourth Proportional to 303,516, 454,962.96 and 126,126

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Solution

The fourth proportional to 303,516, 454,962.96 and 126,126 is: 189,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,516 : 454,962.96 = 126,126 : x
  2. Step 2: Convert to fraction form
    303,516/454,962.96 = 126,126/x
  3. Step 3: Cross multiply
    303,516x = 454,962.96 × 126,126
  4. Step 4: Simplify right side
    303,516x = 57,382,658,292.96
  5. Step 5: Solve for x
    x = 57,382,658,292.96/303,516
  6. Step 6: Final answer
    x = 189,059.75

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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.