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Finding the Fourth Proportional to 158,049, 237,073.50 and 41,313

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Solution

The fourth proportional to 158,049, 237,073.50 and 41,313 is: 61,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,049 : 237,073.50 = 41,313 : x
  2. Step 2: Convert to fraction form
    158,049/237,073.50 = 41,313/x
  3. Step 3: Cross multiply
    158,049x = 237,073.50 × 41,313
  4. Step 4: Simplify right side
    158,049x = 9,794,217,505.50
  5. Step 5: Solve for x
    x = 9,794,217,505.50/158,049
  6. Step 6: Final answer
    x = 61,969.50

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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.