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Finding the Fourth Proportional to 238,214.34, 357,381.45 and 105,131.34

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Solution

The fourth proportional to 238,214.34, 357,381.45 and 105,131.34 is: 157,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,214.34 : 357,381.45 = 105,131.34 : x
  2. Step 2: Convert to fraction form
    238,214.34/357,381.45 = 105,131.34/x
  3. Step 3: Cross multiply
    238,214.34x = 357,381.45 × 105,131.34
  4. Step 4: Simplify right side
    238,214.34x = 37,571,990,729.64
  5. Step 5: Solve for x
    x = 37,571,990,729.64/238,214.34
  6. Step 6: Final answer
    x = 157,723.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.