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Finding the Fourth Proportional to 205,512.10, 308,584.95 and 112,200.10

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Solution

The fourth proportional to 205,512.10, 308,584.95 and 112,200.10 is: 168,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,512.10 : 308,584.95 = 112,200.10 : x
  2. Step 2: Convert to fraction form
    205,512.10/308,584.95 = 112,200.10/x
  3. Step 3: Cross multiply
    205,512.10x = 308,584.95 × 112,200.10
  4. Step 4: Simplify right side
    205,512.10x = 34,623,262,248.50
  5. Step 5: Solve for x
    x = 34,623,262,248.50/205,512.10
  6. Step 6: Final answer
    x = 168,473.11

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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.