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Finding the Fourth Proportional to 257,026.84, 354,654.86 and 161,465.88

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Solution

The fourth proportional to 257,026.84, 354,654.86 and 161,465.88 is: 222,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,026.84 : 354,654.86 = 161,465.88 : x
  2. Step 2: Convert to fraction form
    257,026.84/354,654.86 = 161,465.88/x
  3. Step 3: Cross multiply
    257,026.84x = 354,654.86 × 161,465.88
  4. Step 4: Simplify right side
    257,026.84x = 57,264,659,066.18
  5. Step 5: Solve for x
    x = 57,264,659,066.18/257,026.84
  6. Step 6: Final answer
    x = 222,796.42

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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.