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Finding the Fourth Proportional to 223,843.82, 308,903.90 and 123,241.82

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Solution

The fourth proportional to 223,843.82, 308,903.90 and 123,241.82 is: 170,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,843.82 : 308,903.90 = 123,241.82 : x
  2. Step 2: Convert to fraction form
    223,843.82/308,903.90 = 123,241.82/x
  3. Step 3: Cross multiply
    223,843.82x = 308,903.90 × 123,241.82
  4. Step 4: Simplify right side
    223,843.82x = 38,069,878,841.10
  5. Step 5: Solve for x
    x = 38,069,878,841.10/223,843.82
  6. Step 6: Final answer
    x = 170,073.40

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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.