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Finding the Fourth Proportional to 237,894.14, 356,841.48 and 80,109.38

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Solution

The fourth proportional to 237,894.14, 356,841.48 and 80,109.38 is: 120,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,894.14 : 356,841.48 = 80,109.38 : x
  2. Step 2: Convert to fraction form
    237,894.14/356,841.48 = 80,109.38/x
  3. Step 3: Cross multiply
    237,894.14x = 356,841.48 × 80,109.38
  4. Step 4: Simplify right side
    237,894.14x = 28,586,349,721.08
  5. Step 5: Solve for x
    x = 28,586,349,721.08/237,894.14
  6. Step 6: Final answer
    x = 120,164.16

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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.