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Finding the Fourth Proportional to 205,389.80, 283,409.88 and 114,734.56

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Solution

The fourth proportional to 205,389.80, 283,409.88 and 114,734.56 is: 158,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,389.80 : 283,409.88 = 114,734.56 : x
  2. Step 2: Convert to fraction form
    205,389.80/283,409.88 = 114,734.56/x
  3. Step 3: Cross multiply
    205,389.80x = 283,409.88 × 114,734.56
  4. Step 4: Simplify right side
    205,389.80x = 32,516,907,881.45
  5. Step 5: Solve for x
    x = 32,516,907,881.45/205,389.80
  6. Step 6: Final answer
    x = 158,318.03

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Why These Related Problems?

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