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Finding the Fourth Proportional to 288,266.98, 432,356.10 and 96,144.79

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Solution

The fourth proportional to 288,266.98, 432,356.10 and 96,144.79 is: 144,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,266.98 : 432,356.10 = 96,144.79 : x
  2. Step 2: Convert to fraction form
    288,266.98/432,356.10 = 96,144.79/x
  3. Step 3: Cross multiply
    288,266.98x = 432,356.10 × 96,144.79
  4. Step 4: Simplify right side
    288,266.98x = 41,568,786,439.72
  5. Step 5: Solve for x
    x = 41,568,786,439.72/288,266.98
  6. Step 6: Final answer
    x = 144,202.39

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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.