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Finding the Fourth Proportional to 174,024.96, 239,944.32 and 147,120

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Solution

The fourth proportional to 174,024.96, 239,944.32 and 147,120 is: 202,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,024.96 : 239,944.32 = 147,120 : x
  2. Step 2: Convert to fraction form
    174,024.96/239,944.32 = 147,120/x
  3. Step 3: Cross multiply
    174,024.96x = 239,944.32 × 147,120
  4. Step 4: Simplify right side
    174,024.96x = 35,300,608,358.40
  5. Step 5: Solve for x
    x = 35,300,608,358.40/174,024.96
  6. Step 6: Final answer
    x = 202,847.96

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