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Finding the Fourth Proportional to 119,232.96, 178,849.08 and 30,486.48

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Solution

The fourth proportional to 119,232.96, 178,849.08 and 30,486.48 is: 45,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,232.96 : 178,849.08 = 30,486.48 : x
  2. Step 2: Convert to fraction form
    119,232.96/178,849.08 = 30,486.48/x
  3. Step 3: Cross multiply
    119,232.96x = 178,849.08 × 30,486.48
  4. Step 4: Simplify right side
    119,232.96x = 5,452,478,900.44
  5. Step 5: Solve for x
    x = 5,452,478,900.44/119,232.96
  6. Step 6: Final answer
    x = 45,729.63

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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.