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Finding the Fourth Proportional to 93,202.10, 139,664.90 and 68,457.14

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Solution

The fourth proportional to 93,202.10, 139,664.90 and 68,457.14 is: 102,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,202.10 : 139,664.90 = 68,457.14 : x
  2. Step 2: Convert to fraction form
    93,202.10/139,664.90 = 68,457.14/x
  3. Step 3: Cross multiply
    93,202.10x = 139,664.90 × 68,457.14
  4. Step 4: Simplify right side
    93,202.10x = 9,561,058,571.78
  5. Step 5: Solve for x
    x = 9,561,058,571.78/93,202.10
  6. Step 6: Final answer
    x = 102,584.16

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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.