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Finding the Fourth Proportional to 118,700.40, 178,072.56 and 37,668

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Solution

The fourth proportional to 118,700.40, 178,072.56 and 37,668 is: 56,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,700.40 : 178,072.56 = 37,668 : x
  2. Step 2: Convert to fraction form
    118,700.40/178,072.56 = 37,668/x
  3. Step 3: Cross multiply
    118,700.40x = 178,072.56 × 37,668
  4. Step 4: Simplify right side
    118,700.40x = 6,707,637,190.08
  5. Step 5: Solve for x
    x = 6,707,637,190.08/118,700.40
  6. Step 6: Final answer
    x = 56,508.97

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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.