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Finding the Fourth Proportional to 199,419.66, 275,246.37 and 114,585.93

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Solution

The fourth proportional to 199,419.66, 275,246.37 and 114,585.93 is: 158,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,419.66 : 275,246.37 = 114,585.93 : x
  2. Step 2: Convert to fraction form
    199,419.66/275,246.37 = 114,585.93/x
  3. Step 3: Cross multiply
    199,419.66x = 275,246.37 × 114,585.93
  4. Step 4: Simplify right side
    199,419.66x = 31,539,361,285.57
  5. Step 5: Solve for x
    x = 31,539,361,285.57/199,419.66
  6. Step 6: Final answer
    x = 158,155.73

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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.