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Finding the Fourth Proportional to 194,465.20, 291,114.60 and 115,538.80

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Solution

The fourth proportional to 194,465.20, 291,114.60 and 115,538.80 is: 172,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,465.20 : 291,114.60 = 115,538.80 : x
  2. Step 2: Convert to fraction form
    194,465.20/291,114.60 = 115,538.80/x
  3. Step 3: Cross multiply
    194,465.20x = 291,114.60 × 115,538.80
  4. Step 4: Simplify right side
    194,465.20x = 33,635,031,546.48
  5. Step 5: Solve for x
    x = 33,635,031,546.48/194,465.20
  6. Step 6: Final answer
    x = 172,961.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.