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Finding the Fourth Proportional to 205,763.55, 288,265.80 and 205,763.55

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Solution

The fourth proportional to 205,763.55, 288,265.80 and 205,763.55 is: 288,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,763.55 : 288,265.80 = 205,763.55 : x
  2. Step 2: Convert to fraction form
    205,763.55/288,265.80 = 205,763.55/x
  3. Step 3: Cross multiply
    205,763.55x = 288,265.80 × 205,763.55
  4. Step 4: Simplify right side
    205,763.55x = 59,314,594,351.59
  5. Step 5: Solve for x
    x = 59,314,594,351.59/205,763.55
  6. Step 6: Final answer
    x = 288,265.80

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Why These Related Problems?

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