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Finding the Fourth Proportional to 114,539.76, 171,892.89 and 86,494.50

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Solution

The fourth proportional to 114,539.76, 171,892.89 and 86,494.50 is: 129,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,539.76 : 171,892.89 = 86,494.50 : x
  2. Step 2: Convert to fraction form
    114,539.76/171,892.89 = 86,494.50/x
  3. Step 3: Cross multiply
    114,539.76x = 171,892.89 × 86,494.50
  4. Step 4: Simplify right side
    114,539.76x = 14,867,789,574.11
  5. Step 5: Solve for x
    x = 14,867,789,574.11/114,539.76
  6. Step 6: Final answer
    x = 129,804.62

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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.