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Finding the Fourth Proportional to 257,333.80, 386,346.30 and 164,252.20

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Solution

The fourth proportional to 257,333.80, 386,346.30 and 164,252.20 is: 246,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,333.80 : 386,346.30 = 164,252.20 : x
  2. Step 2: Convert to fraction form
    257,333.80/386,346.30 = 164,252.20/x
  3. Step 3: Cross multiply
    257,333.80x = 386,346.30 × 164,252.20
  4. Step 4: Simplify right side
    257,333.80x = 63,458,229,736.86
  5. Step 5: Solve for x
    x = 63,458,229,736.86/257,333.80
  6. Step 6: Final answer
    x = 246,598.89

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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.