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Finding the Fourth Proportional to 199,570.50, 275,407.65 and 110,146.50

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Solution

The fourth proportional to 199,570.50, 275,407.65 and 110,146.50 is: 152,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,570.50 : 275,407.65 = 110,146.50 : x
  2. Step 2: Convert to fraction form
    199,570.50/275,407.65 = 110,146.50/x
  3. Step 3: Cross multiply
    199,570.50x = 275,407.65 × 110,146.50
  4. Step 4: Simplify right side
    199,570.50x = 30,335,188,720.73
  5. Step 5: Solve for x
    x = 30,335,188,720.73/199,570.50
  6. Step 6: Final answer
    x = 152,002.37

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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.