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Finding the Fourth Proportional to 206,907.31, 310,385.27 and 73,806.49

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Solution

The fourth proportional to 206,907.31, 310,385.27 and 73,806.49 is: 110,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,907.31 : 310,385.27 = 73,806.49 : x
  2. Step 2: Convert to fraction form
    206,907.31/310,385.27 = 73,806.49/x
  3. Step 3: Cross multiply
    206,907.31x = 310,385.27 × 73,806.49
  4. Step 4: Simplify right side
    206,907.31x = 22,908,447,326.40
  5. Step 5: Solve for x
    x = 22,908,447,326.40/206,907.31
  6. Step 6: Final answer
    x = 110,718.40

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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.