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Finding the Fourth Proportional to 229,194.88, 316,308.94 and 133,732.33

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Solution

The fourth proportional to 229,194.88, 316,308.94 and 133,732.33 is: 184,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194.88 : 316,308.94 = 133,732.33 : x
  2. Step 2: Convert to fraction form
    229,194.88/316,308.94 = 133,732.33/x
  3. Step 3: Cross multiply
    229,194.88x = 316,308.94 × 133,732.33
  4. Step 4: Simplify right side
    229,194.88x = 42,300,730,944.95
  5. Step 5: Solve for x
    x = 42,300,730,944.95/229,194.88
  6. Step 6: Final answer
    x = 184,562.29

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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.