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Finding the Fourth Proportional to 105,625, 158,451.54 and 49,457.44

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Solution

The fourth proportional to 105,625, 158,451.54 and 49,457.44 is: 74,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,625 : 158,451.54 = 49,457.44 : x
  2. Step 2: Convert to fraction form
    105,625/158,451.54 = 49,457.44/x
  3. Step 3: Cross multiply
    105,625x = 158,451.54 × 49,457.44
  4. Step 4: Simplify right side
    105,625x = 7,836,607,532.46
  5. Step 5: Solve for x
    x = 7,836,607,532.46/105,625
  6. Step 6: Final answer
    x = 74,192.73

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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.