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Finding the Fourth Proportional to 206,924.30, 310,603.63 and 183,382.46

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Solution

The fourth proportional to 206,924.30, 310,603.63 and 183,382.46 is: 275,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,924.30 : 310,603.63 = 183,382.46 : x
  2. Step 2: Convert to fraction form
    206,924.30/310,603.63 = 183,382.46/x
  3. Step 3: Cross multiply
    206,924.30x = 310,603.63 × 183,382.46
  4. Step 4: Simplify right side
    206,924.30x = 56,959,257,754.33
  5. Step 5: Solve for x
    x = 56,959,257,754.33/206,924.30
  6. Step 6: Final answer
    x = 275,266.16

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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.