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Finding the Fourth Proportional to 205,856.20, 308,492.70 and 180,778.60

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Solution

The fourth proportional to 205,856.20, 308,492.70 and 180,778.60 is: 270,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,856.20 : 308,492.70 = 180,778.60 : x
  2. Step 2: Convert to fraction form
    205,856.20/308,492.70 = 180,778.60/x
  3. Step 3: Cross multiply
    205,856.20x = 308,492.70 × 180,778.60
  4. Step 4: Simplify right side
    205,856.20x = 55,768,878,416.22
  5. Step 5: Solve for x
    x = 55,768,878,416.22/205,856.20
  6. Step 6: Final answer
    x = 270,911.82

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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.