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Finding the Fourth Proportional to 205,358.60, 307,433.10 and 153,000.20

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Solution

The fourth proportional to 205,358.60, 307,433.10 and 153,000.20 is: 229,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,358.60 : 307,433.10 = 153,000.20 : x
  2. Step 2: Convert to fraction form
    205,358.60/307,433.10 = 153,000.20/x
  3. Step 3: Cross multiply
    205,358.60x = 307,433.10 × 153,000.20
  4. Step 4: Simplify right side
    205,358.60x = 47,037,325,786.62
  5. Step 5: Solve for x
    x = 47,037,325,786.62/205,358.60
  6. Step 6: Final answer
    x = 229,049.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.