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Finding the Fourth Proportional to 194,741.60, 292,112.40 and 165,711.20

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Solution

The fourth proportional to 194,741.60, 292,112.40 and 165,711.20 is: 248,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,741.60 : 292,112.40 = 165,711.20 : x
  2. Step 2: Convert to fraction form
    194,741.60/292,112.40 = 165,711.20/x
  3. Step 3: Cross multiply
    194,741.60x = 292,112.40 × 165,711.20
  4. Step 4: Simplify right side
    194,741.60x = 48,406,296,338.88
  5. Step 5: Solve for x
    x = 48,406,296,338.88/194,741.60
  6. Step 6: Final answer
    x = 248,566.80

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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.