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Finding the Fourth Proportional to 309,204.34, 463,872.72 and 95,967.79

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Solution

The fourth proportional to 309,204.34, 463,872.72 and 95,967.79 is: 143,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,204.34 : 463,872.72 = 95,967.79 : x
  2. Step 2: Convert to fraction form
    309,204.34/463,872.72 = 95,967.79/x
  3. Step 3: Cross multiply
    309,204.34x = 463,872.72 × 95,967.79
  4. Step 4: Simplify right side
    309,204.34x = 44,516,838,979.89
  5. Step 5: Solve for x
    x = 44,516,838,979.89/309,204.34
  6. Step 6: Final answer
    x = 143,972.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.