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Finding the Fourth Proportional to 229,833.60, 316,908.84 and 161,828.82

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Solution

The fourth proportional to 229,833.60, 316,908.84 and 161,828.82 is: 223,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,833.60 : 316,908.84 = 161,828.82 : x
  2. Step 2: Convert to fraction form
    229,833.60/316,908.84 = 161,828.82/x
  3. Step 3: Cross multiply
    229,833.60x = 316,908.84 × 161,828.82
  4. Step 4: Simplify right side
    229,833.60x = 51,284,983,624.77
  5. Step 5: Solve for x
    x = 51,284,983,624.77/229,833.60
  6. Step 6: Final answer
    x = 223,139.63

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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.