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Finding the Fourth Proportional to 205,305.40, 307,958.10 and 183,532.60

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Solution

The fourth proportional to 205,305.40, 307,958.10 and 183,532.60 is: 275,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,305.40 : 307,958.10 = 183,532.60 : x
  2. Step 2: Convert to fraction form
    205,305.40/307,958.10 = 183,532.60/x
  3. Step 3: Cross multiply
    205,305.40x = 307,958.10 × 183,532.60
  4. Step 4: Simplify right side
    205,305.40x = 56,520,350,784.06
  5. Step 5: Solve for x
    x = 56,520,350,784.06/205,305.40
  6. Step 6: Final answer
    x = 275,298.90

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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.