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Finding the Fourth Proportional to 194,699.80, 291,887.70 and 82,466.20

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Solution

The fourth proportional to 194,699.80, 291,887.70 and 82,466.20 is: 123,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,699.80 : 291,887.70 = 82,466.20 : x
  2. Step 2: Convert to fraction form
    194,699.80/291,887.70 = 82,466.20/x
  3. Step 3: Cross multiply
    194,699.80x = 291,887.70 × 82,466.20
  4. Step 4: Simplify right side
    194,699.80x = 24,070,869,445.74
  5. Step 5: Solve for x
    x = 24,070,869,445.74/194,699.80
  6. Step 6: Final answer
    x = 123,630.68

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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.