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Finding the Fourth Proportional to 229,194.94, 316,294.47 and 128,600.38

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Solution

The fourth proportional to 229,194.94, 316,294.47 and 128,600.38 is: 177,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194.94 : 316,294.47 = 128,600.38 : x
  2. Step 2: Convert to fraction form
    229,194.94/316,294.47 = 128,600.38/x
  3. Step 3: Cross multiply
    229,194.94x = 316,294.47 × 128,600.38
  4. Step 4: Simplify right side
    229,194.94x = 40,675,589,033.90
  5. Step 5: Solve for x
    x = 40,675,589,033.90/229,194.94
  6. Step 6: Final answer
    x = 177,471.58

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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.