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Finding the Fourth Proportional to 237,608.45, 356,338.06 and 77,647.91

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Solution

The fourth proportional to 237,608.45, 356,338.06 and 77,647.91 is: 116,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,608.45 : 356,338.06 = 77,647.91 : x
  2. Step 2: Convert to fraction form
    237,608.45/356,338.06 = 77,647.91/x
  3. Step 3: Cross multiply
    237,608.45x = 356,338.06 × 77,647.91
  4. Step 4: Simplify right side
    237,608.45x = 27,668,903,442.52
  5. Step 5: Solve for x
    x = 27,668,903,442.52/237,608.45
  6. Step 6: Final answer
    x = 116,447.47

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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.