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Finding the Fourth Proportional to 363,467.16, 545,219.10 and 138,846.96

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Solution

The fourth proportional to 363,467.16, 545,219.10 and 138,846.96 is: 208,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,467.16 : 545,219.10 = 138,846.96 : x
  2. Step 2: Convert to fraction form
    363,467.16/545,219.10 = 138,846.96/x
  3. Step 3: Cross multiply
    363,467.16x = 545,219.10 × 138,846.96
  4. Step 4: Simplify right side
    363,467.16x = 75,702,014,568.94
  5. Step 5: Solve for x
    x = 75,702,014,568.94/363,467.16
  6. Step 6: Final answer
    x = 208,277.45

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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.