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Finding the Fourth Proportional to 312,126.30, 430,734.24 and 168,886.44

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Solution

The fourth proportional to 312,126.30, 430,734.24 and 168,886.44 is: 233,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,126.30 : 430,734.24 = 168,886.44 : x
  2. Step 2: Convert to fraction form
    312,126.30/430,734.24 = 168,886.44/x
  3. Step 3: Cross multiply
    312,126.30x = 430,734.24 × 168,886.44
  4. Step 4: Simplify right side
    312,126.30x = 72,745,172,379.71
  5. Step 5: Solve for x
    x = 72,745,172,379.71/312,126.30
  6. Step 6: Final answer
    x = 233,063.26

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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.