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Finding the Fourth Proportional to 229,463.82, 316,571.58 and 169,177.77

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Solution

The fourth proportional to 229,463.82, 316,571.58 and 169,177.77 is: 233,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,463.82 : 316,571.58 = 169,177.77 : x
  2. Step 2: Convert to fraction form
    229,463.82/316,571.58 = 169,177.77/x
  3. Step 3: Cross multiply
    229,463.82x = 316,571.58 × 169,177.77
  4. Step 4: Simplify right side
    229,463.82x = 53,556,873,949.78
  5. Step 5: Solve for x
    x = 53,556,873,949.78/229,463.82
  6. Step 6: Final answer
    x = 233,400.08

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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.