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Finding the Fourth Proportional to 312,339.98, 468,702.69 and 122,767.04

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Solution

The fourth proportional to 312,339.98, 468,702.69 and 122,767.04 is: 184,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,339.98 : 468,702.69 = 122,767.04 : x
  2. Step 2: Convert to fraction form
    312,339.98/468,702.69 = 122,767.04/x
  3. Step 3: Cross multiply
    312,339.98x = 468,702.69 × 122,767.04
  4. Step 4: Simplify right side
    312,339.98x = 57,541,241,891.34
  5. Step 5: Solve for x
    x = 57,541,241,891.34/312,339.98
  6. Step 6: Final answer
    x = 184,226.31

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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.