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Finding the Fourth Proportional to 205,000.80, 307,544.40 and 86,611.20

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Solution

The fourth proportional to 205,000.80, 307,544.40 and 86,611.20 is: 129,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000.80 : 307,544.40 = 86,611.20 : x
  2. Step 2: Convert to fraction form
    205,000.80/307,544.40 = 86,611.20/x
  3. Step 3: Cross multiply
    205,000.80x = 307,544.40 × 86,611.20
  4. Step 4: Simplify right side
    205,000.80x = 26,636,789,537.28
  5. Step 5: Solve for x
    x = 26,636,789,537.28/205,000.80
  6. Step 6: Final answer
    x = 129,935.05

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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.