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Finding the Fourth Proportional to 199,567.92, 275,450.94 and 114,734.28

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Solution

The fourth proportional to 199,567.92, 275,450.94 and 114,734.28 is: 158,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,567.92 : 275,450.94 = 114,734.28 : x
  2. Step 2: Convert to fraction form
    199,567.92/275,450.94 = 114,734.28/x
  3. Step 3: Cross multiply
    199,567.92x = 275,450.94 × 114,734.28
  4. Step 4: Simplify right side
    199,567.92x = 31,603,665,276.22
  5. Step 5: Solve for x
    x = 31,603,665,276.22/199,567.92
  6. Step 6: Final answer
    x = 158,360.45

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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.