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Finding the Fourth Proportional to 312,184.52, 430,768.31 and 189,613.16

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Solution

The fourth proportional to 312,184.52, 430,768.31 and 189,613.16 is: 261,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,184.52 : 430,768.31 = 189,613.16 : x
  2. Step 2: Convert to fraction form
    312,184.52/430,768.31 = 189,613.16/x
  3. Step 3: Cross multiply
    312,184.52x = 430,768.31 × 189,613.16
  4. Step 4: Simplify right side
    312,184.52x = 81,679,337,385.05
  5. Step 5: Solve for x
    x = 81,679,337,385.05/312,184.52
  6. Step 6: Final answer
    x = 261,638.02

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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.