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Finding the Fourth Proportional to 205,171.50, 307,774.88 and 72,040.32

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Solution

The fourth proportional to 205,171.50, 307,774.88 and 72,040.32 is: 108,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,171.50 : 307,774.88 = 72,040.32 : x
  2. Step 2: Convert to fraction form
    205,171.50/307,774.88 = 72,040.32/x
  3. Step 3: Cross multiply
    205,171.50x = 307,774.88 × 72,040.32
  4. Step 4: Simplify right side
    205,171.50x = 22,172,200,843.16
  5. Step 5: Solve for x
    x = 22,172,200,843.16/205,171.50
  6. Step 6: Final answer
    x = 108,066.67

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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.