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Finding the Fourth Proportional to 118,082.96, 177,078.40 and 39,176

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Solution

The fourth proportional to 118,082.96, 177,078.40 and 39,176 is: 58,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,082.96 : 177,078.40 = 39,176 : x
  2. Step 2: Convert to fraction form
    118,082.96/177,078.40 = 39,176/x
  3. Step 3: Cross multiply
    118,082.96x = 177,078.40 × 39,176
  4. Step 4: Simplify right side
    118,082.96x = 6,937,223,398.40
  5. Step 5: Solve for x
    x = 6,937,223,398.40/118,082.96
  6. Step 6: Final answer
    x = 58,748.73

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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.