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Finding the Fourth Proportional to 169,174.09, 233,468 and 96,596.63

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Solution

The fourth proportional to 169,174.09, 233,468 and 96,596.63 is: 133,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,174.09 : 233,468 = 96,596.63 : x
  2. Step 2: Convert to fraction form
    169,174.09/233,468 = 96,596.63/x
  3. Step 3: Cross multiply
    169,174.09x = 233,468 × 96,596.63
  4. Step 4: Simplify right side
    169,174.09x = 22,552,222,012.84
  5. Step 5: Solve for x
    x = 22,552,222,012.84/169,174.09
  6. Step 6: Final answer
    x = 133,307.78

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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.