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Finding the Fourth Proportional to 206,813.39, 310,482.56 and 175,845.47

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Solution

The fourth proportional to 206,813.39, 310,482.56 and 175,845.47 is: 263,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.39 : 310,482.56 = 175,845.47 : x
  2. Step 2: Convert to fraction form
    206,813.39/310,482.56 = 175,845.47/x
  3. Step 3: Cross multiply
    206,813.39x = 310,482.56 × 175,845.47
  4. Step 4: Simplify right side
    206,813.39x = 54,596,950,577.20
  5. Step 5: Solve for x
    x = 54,596,950,577.20/206,813.39
  6. Step 6: Final answer
    x = 263,991.38

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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.