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Finding the Fourth Proportional to 293,590.88, 405,141.86 and 166,267.39

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Solution

The fourth proportional to 293,590.88, 405,141.86 and 166,267.39 is: 229,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,590.88 : 405,141.86 = 166,267.39 : x
  2. Step 2: Convert to fraction form
    293,590.88/405,141.86 = 166,267.39/x
  3. Step 3: Cross multiply
    293,590.88x = 405,141.86 × 166,267.39
  4. Step 4: Simplify right side
    293,590.88x = 67,361,878,810.61
  5. Step 5: Solve for x
    x = 67,361,878,810.61/293,590.88
  6. Step 6: Final answer
    x = 229,441.32

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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.