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Finding the Fourth Proportional to 229,059.48, 316,101.54 and 127,100.44

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Solution

The fourth proportional to 229,059.48, 316,101.54 and 127,100.44 is: 175,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,059.48 : 316,101.54 = 127,100.44 : x
  2. Step 2: Convert to fraction form
    229,059.48/316,101.54 = 127,100.44/x
  3. Step 3: Cross multiply
    229,059.48x = 316,101.54 × 127,100.44
  4. Step 4: Simplify right side
    229,059.48x = 40,176,644,818.68
  5. Step 5: Solve for x
    x = 40,176,644,818.68/229,059.48
  6. Step 6: Final answer
    x = 175,398.31

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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.