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Finding the Fourth Proportional to 255,493.72, 383,222.76 and 95,539.24

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Solution

The fourth proportional to 255,493.72, 383,222.76 and 95,539.24 is: 143,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,493.72 : 383,222.76 = 95,539.24 : x
  2. Step 2: Convert to fraction form
    255,493.72/383,222.76 = 95,539.24/x
  3. Step 3: Cross multiply
    255,493.72x = 383,222.76 × 95,539.24
  4. Step 4: Simplify right side
    255,493.72x = 36,612,811,241.10
  5. Step 5: Solve for x
    x = 36,612,811,241.10/255,493.72
  6. Step 6: Final answer
    x = 143,302.20

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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.