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Finding the Fourth Proportional to 205,107.49, 307,798.84 and 71,988.14

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Solution

The fourth proportional to 205,107.49, 307,798.84 and 71,988.14 is: 108,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,107.49 : 307,798.84 = 71,988.14 : x
  2. Step 2: Convert to fraction form
    205,107.49/307,798.84 = 71,988.14/x
  3. Step 3: Cross multiply
    205,107.49x = 307,798.84 × 71,988.14
  4. Step 4: Simplify right side
    205,107.49x = 22,157,866,440.31
  5. Step 5: Solve for x
    x = 22,157,866,440.31/205,107.49
  6. Step 6: Final answer
    x = 108,030.51

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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.