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Finding the Fourth Proportional to 259,884, 389,981.52 and 112,140

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Solution

The fourth proportional to 259,884, 389,981.52 and 112,140 is: 168,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,884 : 389,981.52 = 112,140 : x
  2. Step 2: Convert to fraction form
    259,884/389,981.52 = 112,140/x
  3. Step 3: Cross multiply
    259,884x = 389,981.52 × 112,140
  4. Step 4: Simplify right side
    259,884x = 43,732,527,652.80
  5. Step 5: Solve for x
    x = 43,732,527,652.80/259,884
  6. Step 6: Final answer
    x = 168,277.11

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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.