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Finding the Fourth Proportional to 205,963.60, 287,649.20 and 205,963.60

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Solution

The fourth proportional to 205,963.60, 287,649.20 and 205,963.60 is: 287,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,963.60 : 287,649.20 = 205,963.60 : x
  2. Step 2: Convert to fraction form
    205,963.60/287,649.20 = 205,963.60/x
  3. Step 3: Cross multiply
    205,963.60x = 287,649.20 × 205,963.60
  4. Step 4: Simplify right side
    205,963.60x = 59,245,264,769.12
  5. Step 5: Solve for x
    x = 59,245,264,769.12/205,963.60
  6. Step 6: Final answer
    x = 287,649.20

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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.