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Finding the Fourth Proportional to 280,943.50, 421,415.67 and 114,731.50

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Solution

The fourth proportional to 280,943.50, 421,415.67 and 114,731.50 is: 172,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,943.50 : 421,415.67 = 114,731.50 : x
  2. Step 2: Convert to fraction form
    280,943.50/421,415.67 = 114,731.50/x
  3. Step 3: Cross multiply
    280,943.50x = 421,415.67 × 114,731.50
  4. Step 4: Simplify right side
    280,943.50x = 48,349,651,942.61
  5. Step 5: Solve for x
    x = 48,349,651,942.61/280,943.50
  6. Step 6: Final answer
    x = 172,097.42

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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.