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Finding the Fourth Proportional to 229,406.30, 316,631.30 and 127,466.78

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Solution

The fourth proportional to 229,406.30, 316,631.30 and 127,466.78 is: 175,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,406.30 : 316,631.30 = 127,466.78 : x
  2. Step 2: Convert to fraction form
    229,406.30/316,631.30 = 127,466.78/x
  3. Step 3: Cross multiply
    229,406.30x = 316,631.30 × 127,466.78
  4. Step 4: Simplify right side
    229,406.30x = 40,359,972,258.21
  5. Step 5: Solve for x
    x = 40,359,972,258.21/229,406.30
  6. Step 6: Final answer
    x = 175,932.27

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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.