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Finding the Fourth Proportional to 199,534.92, 275,405.32 and 114,701.20

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Solution

The fourth proportional to 199,534.92, 275,405.32 and 114,701.20 is: 158,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,534.92 : 275,405.32 = 114,701.20 : x
  2. Step 2: Convert to fraction form
    199,534.92/275,405.32 = 114,701.20/x
  3. Step 3: Cross multiply
    199,534.92x = 275,405.32 × 114,701.20
  4. Step 4: Simplify right side
    199,534.92x = 31,589,320,690.38
  5. Step 5: Solve for x
    x = 31,589,320,690.38/199,534.92
  6. Step 6: Final answer
    x = 158,314.75

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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.