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Finding the Fourth Proportional to 142,165.53, 213,166.89 and 114,137.30

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Solution

The fourth proportional to 142,165.53, 213,166.89 and 114,137.30 is: 171,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,165.53 : 213,166.89 = 114,137.30 : x
  2. Step 2: Convert to fraction form
    142,165.53/213,166.89 = 114,137.30/x
  3. Step 3: Cross multiply
    142,165.53x = 213,166.89 × 114,137.30
  4. Step 4: Simplify right side
    142,165.53x = 24,330,293,806.91
  5. Step 5: Solve for x
    x = 24,330,293,806.91/142,165.53
  6. Step 6: Final answer
    x = 171,140.60

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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.