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Finding the Fourth Proportional to 229,672.94, 316,948.37 and 127,695.20

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Solution

The fourth proportional to 229,672.94, 316,948.37 and 127,695.20 is: 176,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,672.94 : 316,948.37 = 127,695.20 : x
  2. Step 2: Convert to fraction form
    229,672.94/316,948.37 = 127,695.20/x
  3. Step 3: Cross multiply
    229,672.94x = 316,948.37 × 127,695.20
  4. Step 4: Simplify right side
    229,672.94x = 40,472,783,273.61
  5. Step 5: Solve for x
    x = 40,472,783,273.61/229,672.94
  6. Step 6: Final answer
    x = 176,219.21

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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.