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Finding the Fourth Proportional to 318,178, 477,269.88 and 96,562

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Solution

The fourth proportional to 318,178, 477,269.88 and 96,562 is: 144,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,178 : 477,269.88 = 96,562 : x
  2. Step 2: Convert to fraction form
    318,178/477,269.88 = 96,562/x
  3. Step 3: Cross multiply
    318,178x = 477,269.88 × 96,562
  4. Step 4: Simplify right side
    318,178x = 46,086,134,152.56
  5. Step 5: Solve for x
    x = 46,086,134,152.56/318,178
  6. Step 6: Final answer
    x = 144,843.87

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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.