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Finding the Fourth Proportional to 252,424, 348,351.67 and 137,704.51

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Solution

The fourth proportional to 252,424, 348,351.67 and 137,704.51 is: 190,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,424 : 348,351.67 = 137,704.51 : x
  2. Step 2: Convert to fraction form
    252,424/348,351.67 = 137,704.51/x
  3. Step 3: Cross multiply
    252,424x = 348,351.67 × 137,704.51
  4. Step 4: Simplify right side
    252,424x = 47,969,596,025.03
  5. Step 5: Solve for x
    x = 47,969,596,025.03/252,424
  6. Step 6: Final answer
    x = 190,035.80

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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.