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Finding the Fourth Proportional to 496,118.84, 744,164.82 and 141,157.24

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Solution

The fourth proportional to 496,118.84, 744,164.82 and 141,157.24 is: 211,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,118.84 : 744,164.82 = 141,157.24 : x
  2. Step 2: Convert to fraction form
    496,118.84/744,164.82 = 141,157.24/x
  3. Step 3: Cross multiply
    496,118.84x = 744,164.82 × 141,157.24
  4. Step 4: Simplify right side
    496,118.84x = 105,044,252,096.30
  5. Step 5: Solve for x
    x = 105,044,252,096.30/496,118.84
  6. Step 6: Final answer
    x = 211,732.04

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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.