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Finding the Fourth Proportional to 252,697.44, 348,707.46 and 137,953.20

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Solution

The fourth proportional to 252,697.44, 348,707.46 and 137,953.20 is: 190,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,697.44 : 348,707.46 = 137,953.20 : x
  2. Step 2: Convert to fraction form
    252,697.44/348,707.46 = 137,953.20/x
  3. Step 3: Cross multiply
    252,697.44x = 348,707.46 × 137,953.20
  4. Step 4: Simplify right side
    252,697.44x = 48,105,309,970.87
  5. Step 5: Solve for x
    x = 48,105,309,970.87/252,697.44
  6. Step 6: Final answer
    x = 190,367.22

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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.