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Finding the Fourth Proportional to 206,828.17, 310,309.11 and 101,573.33

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Solution

The fourth proportional to 206,828.17, 310,309.11 and 101,573.33 is: 152,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,828.17 : 310,309.11 = 101,573.33 : x
  2. Step 2: Convert to fraction form
    206,828.17/310,309.11 = 101,573.33/x
  3. Step 3: Cross multiply
    206,828.17x = 310,309.11 × 101,573.33
  4. Step 4: Simplify right side
    206,828.17x = 31,519,128,080.49
  5. Step 5: Solve for x
    x = 31,519,128,080.49/206,828.17
  6. Step 6: Final answer
    x = 152,392.82

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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.