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Finding the Fourth Proportional to 205,897.40, 308,846.10 and 72,776.60

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Solution

The fourth proportional to 205,897.40, 308,846.10 and 72,776.60 is: 109,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,897.40 : 308,846.10 = 72,776.60 : x
  2. Step 2: Convert to fraction form
    205,897.40/308,846.10 = 72,776.60/x
  3. Step 3: Cross multiply
    205,897.40x = 308,846.10 × 72,776.60
  4. Step 4: Simplify right side
    205,897.40x = 22,476,769,081.26
  5. Step 5: Solve for x
    x = 22,476,769,081.26/205,897.40
  6. Step 6: Final answer
    x = 109,164.90

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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.