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Finding the Fourth Proportional to 252,441.64, 348,370.44 and 137,722.86

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Solution

The fourth proportional to 252,441.64, 348,370.44 and 137,722.86 is: 190,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,441.64 : 348,370.44 = 137,722.86 : x
  2. Step 2: Convert to fraction form
    252,441.64/348,370.44 = 137,722.86/x
  3. Step 3: Cross multiply
    252,441.64x = 348,370.44 × 137,722.86
  4. Step 4: Simplify right side
    252,441.64x = 47,978,570,905.79
  5. Step 5: Solve for x
    x = 47,978,570,905.79/252,441.64
  6. Step 6: Final answer
    x = 190,058.07

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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.