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Finding the Fourth Proportional to 194,499.20, 291,748.80 and 46,755.20

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Solution

The fourth proportional to 194,499.20, 291,748.80 and 46,755.20 is: 70,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,499.20 : 291,748.80 = 46,755.20 : x
  2. Step 2: Convert to fraction form
    194,499.20/291,748.80 = 46,755.20/x
  3. Step 3: Cross multiply
    194,499.20x = 291,748.80 × 46,755.20
  4. Step 4: Simplify right side
    194,499.20x = 13,640,773,493.76
  5. Step 5: Solve for x
    x = 13,640,773,493.76/194,499.20
  6. Step 6: Final answer
    x = 70,132.80

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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.