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Finding the Fourth Proportional to 174,025.96, 239,945.70 and 147,121

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Solution

The fourth proportional to 174,025.96, 239,945.70 and 147,121 is: 202,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,025.96 : 239,945.70 = 147,121 : x
  2. Step 2: Convert to fraction form
    174,025.96/239,945.70 = 147,121/x
  3. Step 3: Cross multiply
    174,025.96x = 239,945.70 × 147,121
  4. Step 4: Simplify right side
    174,025.96x = 35,301,051,329.70
  5. Step 5: Solve for x
    x = 35,301,051,329.70/174,025.96
  6. Step 6: Final answer
    x = 202,849.34

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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.