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Finding the Fourth Proportional to 105,072.45, 157,477.34 and 67,532.61

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Solution

The fourth proportional to 105,072.45, 157,477.34 and 67,532.61 is: 101,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,072.45 : 157,477.34 = 67,532.61 : x
  2. Step 2: Convert to fraction form
    105,072.45/157,477.34 = 67,532.61/x
  3. Step 3: Cross multiply
    105,072.45x = 157,477.34 × 67,532.61
  4. Step 4: Simplify right side
    105,072.45x = 10,634,856,010.92
  5. Step 5: Solve for x
    x = 10,634,856,010.92/105,072.45
  6. Step 6: Final answer
    x = 101,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.