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Finding the Fourth Proportional to 119,176.98, 178,765.44 and 30,427.30

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Solution

The fourth proportional to 119,176.98, 178,765.44 and 30,427.30 is: 45,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,176.98 : 178,765.44 = 30,427.30 : x
  2. Step 2: Convert to fraction form
    119,176.98/178,765.44 = 30,427.30/x
  3. Step 3: Cross multiply
    119,176.98x = 178,765.44 × 30,427.30
  4. Step 4: Simplify right side
    119,176.98x = 5,439,349,672.51
  5. Step 5: Solve for x
    x = 5,439,349,672.51/119,176.98
  6. Step 6: Final answer
    x = 45,640.94

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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.