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Finding the Fourth Proportional to 229,354.56, 316,511.30 and 127,381.82

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Solution

The fourth proportional to 229,354.56, 316,511.30 and 127,381.82 is: 175,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,354.56 : 316,511.30 = 127,381.82 : x
  2. Step 2: Convert to fraction form
    229,354.56/316,511.30 = 127,381.82/x
  3. Step 3: Cross multiply
    229,354.56x = 316,511.30 × 127,381.82
  4. Step 4: Simplify right side
    229,354.56x = 40,317,783,463.94
  5. Step 5: Solve for x
    x = 40,317,783,463.94/229,354.56
  6. Step 6: Final answer
    x = 175,788.02

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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.