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Finding the Fourth Proportional to 237,609.50, 356,376.97 and 77,684.31

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Solution

The fourth proportional to 237,609.50, 356,376.97 and 77,684.31 is: 116,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,609.50 : 356,376.97 = 77,684.31 : x
  2. Step 2: Convert to fraction form
    237,609.50/356,376.97 = 77,684.31/x
  3. Step 3: Cross multiply
    237,609.50x = 356,376.97 × 77,684.31
  4. Step 4: Simplify right side
    237,609.50x = 27,684,899,014.34
  5. Step 5: Solve for x
    x = 27,684,899,014.34/237,609.50
  6. Step 6: Final answer
    x = 116,514.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.