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Finding the Fourth Proportional to 199,434, 275,063.27 and 127,820.82

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Solution

The fourth proportional to 199,434, 275,063.27 and 127,820.82 is: 176,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,434 : 275,063.27 = 127,820.82 : x
  2. Step 2: Convert to fraction form
    199,434/275,063.27 = 127,820.82/x
  3. Step 3: Cross multiply
    199,434x = 275,063.27 × 127,820.82
  4. Step 4: Simplify right side
    199,434x = 35,158,812,084.18
  5. Step 5: Solve for x
    x = 35,158,812,084.18/199,434
  6. Step 6: Final answer
    x = 176,292.97

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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.