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Finding the Fourth Proportional to 252,352.42, 348,254.12 and 144,944

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Solution

The fourth proportional to 252,352.42, 348,254.12 and 144,944 is: 200,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,352.42 : 348,254.12 = 144,944 : x
  2. Step 2: Convert to fraction form
    252,352.42/348,254.12 = 144,944/x
  3. Step 3: Cross multiply
    252,352.42x = 348,254.12 × 144,944
  4. Step 4: Simplify right side
    252,352.42x = 50,477,345,169.28
  5. Step 5: Solve for x
    x = 50,477,345,169.28/252,352.42
  6. Step 6: Final answer
    x = 200,027.19

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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.