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Finding the Fourth Proportional to 205,425.20, 308,137.80 and 187,054.40

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Solution

The fourth proportional to 205,425.20, 308,137.80 and 187,054.40 is: 280,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,425.20 : 308,137.80 = 187,054.40 : x
  2. Step 2: Convert to fraction form
    205,425.20/308,137.80 = 187,054.40/x
  3. Step 3: Cross multiply
    205,425.20x = 308,137.80 × 187,054.40
  4. Step 4: Simplify right side
    205,425.20x = 57,638,531,296.32
  5. Step 5: Solve for x
    x = 57,638,531,296.32/205,425.20
  6. Step 6: Final answer
    x = 280,581.60

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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.