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Finding the Fourth Proportional to 205,965.70, 288,766.70 and 205,965.70

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Solution

The fourth proportional to 205,965.70, 288,766.70 and 205,965.70 is: 288,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,965.70 : 288,766.70 = 205,965.70 : x
  2. Step 2: Convert to fraction form
    205,965.70/288,766.70 = 205,965.70/x
  3. Step 3: Cross multiply
    205,965.70x = 288,766.70 × 205,965.70
  4. Step 4: Simplify right side
    205,965.70x = 59,476,035,502.19
  5. Step 5: Solve for x
    x = 59,476,035,502.19/205,965.70
  6. Step 6: Final answer
    x = 288,766.70

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