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Finding the Fourth Proportional to 139,522.60, 192,538.92 and 75,862

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Solution

The fourth proportional to 139,522.60, 192,538.92 and 75,862 is: 104,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,522.60 : 192,538.92 = 75,862 : x
  2. Step 2: Convert to fraction form
    139,522.60/192,538.92 = 75,862/x
  3. Step 3: Cross multiply
    139,522.60x = 192,538.92 × 75,862
  4. Step 4: Simplify right side
    139,522.60x = 14,606,387,549.04
  5. Step 5: Solve for x
    x = 14,606,387,549.04/139,522.60
  6. Step 6: Final answer
    x = 104,688.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.