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Finding the Fourth Proportional to 205,059.80, 307,589.70 and 205,059.80

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Solution

The fourth proportional to 205,059.80, 307,589.70 and 205,059.80 is: 307,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,059.80 : 307,589.70 = 205,059.80 : x
  2. Step 2: Convert to fraction form
    205,059.80/307,589.70 = 205,059.80/x
  3. Step 3: Cross multiply
    205,059.80x = 307,589.70 × 205,059.80
  4. Step 4: Simplify right side
    205,059.80x = 63,074,282,364.06
  5. Step 5: Solve for x
    x = 63,074,282,364.06/205,059.80
  6. Step 6: Final answer
    x = 307,589.70

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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.