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Finding the Fourth Proportional to 231,923.00, 320,054.94 and 129,948.66

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Solution

The fourth proportional to 231,923.00, 320,054.94 and 129,948.66 is: 179,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,923.00 : 320,054.94 = 129,948.66 : x
  2. Step 2: Convert to fraction form
    231,923.00/320,054.94 = 129,948.66/x
  3. Step 3: Cross multiply
    231,923.00x = 320,054.94 × 129,948.66
  4. Step 4: Simplify right side
    231,923.00x = 41,590,710,579.38
  5. Step 5: Solve for x
    x = 41,590,710,579.38/231,923.00
  6. Step 6: Final answer
    x = 179,329.83

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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.