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Finding the Fourth Proportional to 229,471.35, 316,677.51 and 138,843.96

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Solution

The fourth proportional to 229,471.35, 316,677.51 and 138,843.96 is: 191,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,471.35 : 316,677.51 = 138,843.96 : x
  2. Step 2: Convert to fraction form
    229,471.35/316,677.51 = 138,843.96/x
  3. Step 3: Cross multiply
    229,471.35x = 316,677.51 × 138,843.96
  4. Step 4: Simplify right side
    229,471.35x = 43,968,759,531.34
  5. Step 5: Solve for x
    x = 43,968,759,531.34/229,471.35
  6. Step 6: Final answer
    x = 191,608.93

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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.