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Finding the Fourth Proportional to 199,779.76, 275,708.82 and 114,895

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Solution

The fourth proportional to 199,779.76, 275,708.82 and 114,895 is: 158,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,779.76 : 275,708.82 = 114,895 : x
  2. Step 2: Convert to fraction form
    199,779.76/275,708.82 = 114,895/x
  3. Step 3: Cross multiply
    199,779.76x = 275,708.82 × 114,895
  4. Step 4: Simplify right side
    199,779.76x = 31,677,564,873.90
  5. Step 5: Solve for x
    x = 31,677,564,873.90/199,779.76
  6. Step 6: Final answer
    x = 158,562.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.