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Finding the Fourth Proportional to 208,702.54, 313,050.75 and 144,601.57

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Solution

The fourth proportional to 208,702.54, 313,050.75 and 144,601.57 is: 216,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,702.54 : 313,050.75 = 144,601.57 : x
  2. Step 2: Convert to fraction form
    208,702.54/313,050.75 = 144,601.57/x
  3. Step 3: Cross multiply
    208,702.54x = 313,050.75 × 144,601.57
  4. Step 4: Simplify right side
    208,702.54x = 45,267,629,939.68
  5. Step 5: Solve for x
    x = 45,267,629,939.68/208,702.54
  6. Step 6: Final answer
    x = 216,900.23

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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.