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Finding the Fourth Proportional to 205,894.04, 281,539.30 and 205,894.04

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Solution

The fourth proportional to 205,894.04, 281,539.30 and 205,894.04 is: 281,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,894.04 : 281,539.30 = 205,894.04 : x
  2. Step 2: Convert to fraction form
    205,894.04/281,539.30 = 205,894.04/x
  3. Step 3: Cross multiply
    205,894.04x = 281,539.30 × 205,894.04
  4. Step 4: Simplify right side
    205,894.04x = 57,967,263,895.77
  5. Step 5: Solve for x
    x = 57,967,263,895.77/205,894.04
  6. Step 6: Final answer
    x = 281,539.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.