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Finding the Fourth Proportional to 177,741.44, 266,678.72 and 92,299.04

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Solution

The fourth proportional to 177,741.44, 266,678.72 and 92,299.04 is: 138,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,741.44 : 266,678.72 = 92,299.04 : x
  2. Step 2: Convert to fraction form
    177,741.44/266,678.72 = 92,299.04/x
  3. Step 3: Cross multiply
    177,741.44x = 266,678.72 × 92,299.04
  4. Step 4: Simplify right side
    177,741.44x = 24,614,189,844.43
  5. Step 5: Solve for x
    x = 24,614,189,844.43/177,741.44
  6. Step 6: Final answer
    x = 138,483.12

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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.