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Finding the Fourth Proportional to 144,714.84, 199,596.65 and 126,778.70

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Solution

The fourth proportional to 144,714.84, 199,596.65 and 126,778.70 is: 174,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,714.84 : 199,596.65 = 126,778.70 : x
  2. Step 2: Convert to fraction form
    144,714.84/199,596.65 = 126,778.70/x
  3. Step 3: Cross multiply
    144,714.84x = 199,596.65 × 126,778.70
  4. Step 4: Simplify right side
    144,714.84x = 25,304,604,627.29
  5. Step 5: Solve for x
    x = 25,304,604,627.29/144,714.84
  6. Step 6: Final answer
    x = 174,858.39

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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.