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Finding the Fourth Proportional to 183,409.93, 274,708.47 and 140,977.57

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Solution

The fourth proportional to 183,409.93, 274,708.47 and 140,977.57 is: 211,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,409.93 : 274,708.47 = 140,977.57 : x
  2. Step 2: Convert to fraction form
    183,409.93/274,708.47 = 140,977.57/x
  3. Step 3: Cross multiply
    183,409.93x = 274,708.47 × 140,977.57
  4. Step 4: Simplify right side
    183,409.93x = 38,727,732,559.02
  5. Step 5: Solve for x
    x = 38,727,732,559.02/183,409.93
  6. Step 6: Final answer
    x = 211,153.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.