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Finding the Fourth Proportional to 204,779.75, 282,585.92 and 114,143.18

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Solution

The fourth proportional to 204,779.75, 282,585.92 and 114,143.18 is: 157,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,779.75 : 282,585.92 = 114,143.18 : x
  2. Step 2: Convert to fraction form
    204,779.75/282,585.92 = 114,143.18/x
  3. Step 3: Cross multiply
    204,779.75x = 282,585.92 × 114,143.18
  4. Step 4: Simplify right side
    204,779.75x = 32,255,253,548.38
  5. Step 5: Solve for x
    x = 32,255,253,548.38/204,779.75
  6. Step 6: Final answer
    x = 157,511.93

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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.