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Finding the Fourth Proportional to 199,758.72, 275,664.96 and 114,873.60

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Solution

The fourth proportional to 199,758.72, 275,664.96 and 114,873.60 is: 158,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,758.72 : 275,664.96 = 114,873.60 : x
  2. Step 2: Convert to fraction form
    199,758.72/275,664.96 = 114,873.60/x
  3. Step 3: Cross multiply
    199,758.72x = 275,664.96 × 114,873.60
  4. Step 4: Simplify right side
    199,758.72x = 31,666,626,349.06
  5. Step 5: Solve for x
    x = 31,666,626,349.06/199,758.72
  6. Step 6: Final answer
    x = 158,524.38

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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.