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Finding the Fourth Proportional to 182,954.84, 274,322.90 and 70,541.84

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Solution

The fourth proportional to 182,954.84, 274,322.90 and 70,541.84 is: 105,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,954.84 : 274,322.90 = 70,541.84 : x
  2. Step 2: Convert to fraction form
    182,954.84/274,322.90 = 70,541.84/x
  3. Step 3: Cross multiply
    182,954.84x = 274,322.90 × 70,541.84
  4. Step 4: Simplify right side
    182,954.84x = 19,351,242,120.14
  5. Step 5: Solve for x
    x = 19,351,242,120.14/182,954.84
  6. Step 6: Final answer
    x = 105,770.59

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Why These Related Problems?

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