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Finding the Fourth Proportional to 102,181.50, 153,280.89 and 28,309.50

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Solution

The fourth proportional to 102,181.50, 153,280.89 and 28,309.50 is: 42,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,181.50 : 153,280.89 = 28,309.50 : x
  2. Step 2: Convert to fraction form
    102,181.50/153,280.89 = 28,309.50/x
  3. Step 3: Cross multiply
    102,181.50x = 153,280.89 × 28,309.50
  4. Step 4: Simplify right side
    102,181.50x = 4,339,305,355.46
  5. Step 5: Solve for x
    x = 4,339,305,355.46/102,181.50
  6. Step 6: Final answer
    x = 42,466.64

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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.