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Finding the Fourth Proportional to 312,051.98, 468,091.29 and 122,553.42

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Solution

The fourth proportional to 312,051.98, 468,091.29 and 122,553.42 is: 183,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,051.98 : 468,091.29 = 122,553.42 : x
  2. Step 2: Convert to fraction form
    312,051.98/468,091.29 = 122,553.42/x
  3. Step 3: Cross multiply
    312,051.98x = 468,091.29 × 122,553.42
  4. Step 4: Simplify right side
    312,051.98x = 57,366,187,165.94
  5. Step 5: Solve for x
    x = 57,366,187,165.94/312,051.98
  6. Step 6: Final answer
    x = 183,835.36

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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.