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Finding the Fourth Proportional to 205,841.80, 308,957.10 and 127,109.80

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Solution

The fourth proportional to 205,841.80, 308,957.10 and 127,109.80 is: 190,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,841.80 : 308,957.10 = 127,109.80 : x
  2. Step 2: Convert to fraction form
    205,841.80/308,957.10 = 127,109.80/x
  3. Step 3: Cross multiply
    205,841.80x = 308,957.10 × 127,109.80
  4. Step 4: Simplify right side
    205,841.80x = 39,271,475,189.58
  5. Step 5: Solve for x
    x = 39,271,475,189.58/205,841.80
  6. Step 6: Final answer
    x = 190,784.74

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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.