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Finding the Fourth Proportional to 142,457.96, 196,652.52 and 88,769.54

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Solution

The fourth proportional to 142,457.96, 196,652.52 and 88,769.54 is: 122,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,457.96 : 196,652.52 = 88,769.54 : x
  2. Step 2: Convert to fraction form
    142,457.96/196,652.52 = 88,769.54/x
  3. Step 3: Cross multiply
    142,457.96x = 196,652.52 × 88,769.54
  4. Step 4: Simplify right side
    142,457.96x = 17,456,752,756.98
  5. Step 5: Solve for x
    x = 17,456,752,756.98/142,457.96
  6. Step 6: Final answer
    x = 122,539.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.