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Finding the Fourth Proportional to 229,174.68, 316,256.25 and 127,194.21

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Solution

The fourth proportional to 229,174.68, 316,256.25 and 127,194.21 is: 175,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,174.68 : 316,256.25 = 127,194.21 : x
  2. Step 2: Convert to fraction form
    229,174.68/316,256.25 = 127,194.21/x
  3. Step 3: Cross multiply
    229,174.68x = 316,256.25 × 127,194.21
  4. Step 4: Simplify right side
    229,174.68x = 40,225,963,876.31
  5. Step 5: Solve for x
    x = 40,225,963,876.31/229,174.68
  6. Step 6: Final answer
    x = 175,525.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.