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Finding the Fourth Proportional to 229,649.86, 316,878.51 and 127,672.48

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Solution

The fourth proportional to 229,649.86, 316,878.51 and 127,672.48 is: 176,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,649.86 : 316,878.51 = 127,672.48 : x
  2. Step 2: Convert to fraction form
    229,649.86/316,878.51 = 127,672.48/x
  3. Step 3: Cross multiply
    229,649.86x = 316,878.51 × 127,672.48
  4. Step 4: Simplify right side
    229,649.86x = 40,456,665,230.40
  5. Step 5: Solve for x
    x = 40,456,665,230.40/229,649.86
  6. Step 6: Final answer
    x = 176,166.73

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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.