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Finding the Fourth Proportional to 273,830.08, 410,569.36 and 114,016.72

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Solution

The fourth proportional to 273,830.08, 410,569.36 and 114,016.72 is: 170,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,830.08 : 410,569.36 = 114,016.72 : x
  2. Step 2: Convert to fraction form
    273,830.08/410,569.36 = 114,016.72/x
  3. Step 3: Cross multiply
    273,830.08x = 410,569.36 × 114,016.72
  4. Step 4: Simplify right side
    273,830.08x = 46,811,771,759.70
  5. Step 5: Solve for x
    x = 46,811,771,759.70/273,830.08
  6. Step 6: Final answer
    x = 170,951.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.