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Finding the Fourth Proportional to 252,474.56, 348,414 and 139,296.68

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Solution

The fourth proportional to 252,474.56, 348,414 and 139,296.68 is: 192,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,474.56 : 348,414 = 139,296.68 : x
  2. Step 2: Convert to fraction form
    252,474.56/348,414 = 139,296.68/x
  3. Step 3: Cross multiply
    252,474.56x = 348,414 × 139,296.68
  4. Step 4: Simplify right side
    252,474.56x = 48,532,913,465.52
  5. Step 5: Solve for x
    x = 48,532,913,465.52/252,474.56
  6. Step 6: Final answer
    x = 192,228.93

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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.