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Finding the Fourth Proportional to 280,942.50, 421,414.17 and 114,730.50

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Solution

The fourth proportional to 280,942.50, 421,414.17 and 114,730.50 is: 172,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,942.50 : 421,414.17 = 114,730.50 : x
  2. Step 2: Convert to fraction form
    280,942.50/421,414.17 = 114,730.50/x
  3. Step 3: Cross multiply
    280,942.50x = 421,414.17 × 114,730.50
  4. Step 4: Simplify right side
    280,942.50x = 48,349,058,431.19
  5. Step 5: Solve for x
    x = 48,349,058,431.19/280,942.50
  6. Step 6: Final answer
    x = 172,095.92

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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.