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Finding the Fourth Proportional to 199,767.32, 275,734.50 and 114,911.72

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Solution

The fourth proportional to 199,767.32, 275,734.50 and 114,911.72 is: 158,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,767.32 : 275,734.50 = 114,911.72 : x
  2. Step 2: Convert to fraction form
    199,767.32/275,734.50 = 114,911.72/x
  3. Step 3: Cross multiply
    199,767.32x = 275,734.50 × 114,911.72
  4. Step 4: Simplify right side
    199,767.32x = 31,685,125,658.34
  5. Step 5: Solve for x
    x = 31,685,125,658.34/199,767.32
  6. Step 6: Final answer
    x = 158,610.16

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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.