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Finding the Fourth Proportional to 255,872.76, 353,106 and 142,702.80

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Solution

The fourth proportional to 255,872.76, 353,106 and 142,702.80 is: 196,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,872.76 : 353,106 = 142,702.80 : x
  2. Step 2: Convert to fraction form
    255,872.76/353,106 = 142,702.80/x
  3. Step 3: Cross multiply
    255,872.76x = 353,106 × 142,702.80
  4. Step 4: Simplify right side
    255,872.76x = 50,389,214,896.80
  5. Step 5: Solve for x
    x = 50,389,214,896.80/255,872.76
  6. Step 6: Final answer
    x = 196,930.75

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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.