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Finding the Fourth Proportional to 252,309.60, 348,171.48 and 144,804

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Solution

The fourth proportional to 252,309.60, 348,171.48 and 144,804 is: 199,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,309.60 : 348,171.48 = 144,804 : x
  2. Step 2: Convert to fraction form
    252,309.60/348,171.48 = 144,804/x
  3. Step 3: Cross multiply
    252,309.60x = 348,171.48 × 144,804
  4. Step 4: Simplify right side
    252,309.60x = 50,416,622,989.92
  5. Step 5: Solve for x
    x = 50,416,622,989.92/252,309.60
  6. Step 6: Final answer
    x = 199,820.47

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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.