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Finding the Fourth Proportional to 275,088.49, 412,634.16 and 125,223.98

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Solution

The fourth proportional to 275,088.49, 412,634.16 and 125,223.98 is: 187,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,088.49 : 412,634.16 = 125,223.98 : x
  2. Step 2: Convert to fraction form
    275,088.49/412,634.16 = 125,223.98/x
  3. Step 3: Cross multiply
    275,088.49x = 412,634.16 × 125,223.98
  4. Step 4: Simplify right side
    275,088.49x = 51,671,690,979.27
  5. Step 5: Solve for x
    x = 51,671,690,979.27/275,088.49
  6. Step 6: Final answer
    x = 187,836.61

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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.