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Finding the Fourth Proportional to 199,780.92, 275,703.08 and 119,255.16

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Solution

The fourth proportional to 199,780.92, 275,703.08 and 119,255.16 is: 164,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,780.92 : 275,703.08 = 119,255.16 : x
  2. Step 2: Convert to fraction form
    199,780.92/275,703.08 = 119,255.16/x
  3. Step 3: Cross multiply
    199,780.92x = 275,703.08 × 119,255.16
  4. Step 4: Simplify right side
    199,780.92x = 32,879,014,917.89
  5. Step 5: Solve for x
    x = 32,879,014,917.89/199,780.92
  6. Step 6: Final answer
    x = 164,575.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.