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Finding the Fourth Proportional to 205,742.80, 288,236.75 and 205,742.80

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Solution

The fourth proportional to 205,742.80, 288,236.75 and 205,742.80 is: 288,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,742.80 : 288,236.75 = 205,742.80 : x
  2. Step 2: Convert to fraction form
    205,742.80/288,236.75 = 205,742.80/x
  3. Step 3: Cross multiply
    205,742.80x = 288,236.75 × 205,742.80
  4. Step 4: Simplify right side
    205,742.80x = 59,302,636,007.90
  5. Step 5: Solve for x
    x = 59,302,636,007.90/205,742.80
  6. Step 6: Final answer
    x = 288,236.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.