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Finding the Fourth Proportional to 114,115, 171,130.52 and 39,213.88

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Solution

The fourth proportional to 114,115, 171,130.52 and 39,213.88 is: 58,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115 : 171,130.52 = 39,213.88 : x
  2. Step 2: Convert to fraction form
    114,115/171,130.52 = 39,213.88/x
  3. Step 3: Cross multiply
    114,115x = 171,130.52 × 39,213.88
  4. Step 4: Simplify right side
    114,115x = 6,710,691,675.62
  5. Step 5: Solve for x
    x = 6,710,691,675.62/114,115
  6. Step 6: Final answer
    x = 58,806.39

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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.