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Finding the Fourth Proportional to 496,119.34, 744,165.57 and 141,157.74

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Solution

The fourth proportional to 496,119.34, 744,165.57 and 141,157.74 is: 211,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,119.34 : 744,165.57 = 141,157.74 : x
  2. Step 2: Convert to fraction form
    496,119.34/744,165.57 = 141,157.74/x
  3. Step 3: Cross multiply
    496,119.34x = 744,165.57 × 141,157.74
  4. Step 4: Simplify right side
    496,119.34x = 105,044,730,047.01
  5. Step 5: Solve for x
    x = 105,044,730,047.01/496,119.34
  6. Step 6: Final answer
    x = 211,732.79

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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.