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Finding the Fourth Proportional to 205,743.55, 288,237.80 and 205,743.55

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Solution

The fourth proportional to 205,743.55, 288,237.80 and 205,743.55 is: 288,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,743.55 : 288,237.80 = 205,743.55 : x
  2. Step 2: Convert to fraction form
    205,743.55/288,237.80 = 205,743.55/x
  3. Step 3: Cross multiply
    205,743.55x = 288,237.80 × 205,743.55
  4. Step 4: Simplify right side
    205,743.55x = 59,303,068,216.19
  5. Step 5: Solve for x
    x = 59,303,068,216.19/205,743.55
  6. Step 6: Final answer
    x = 288,237.80

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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.