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Finding the Fourth Proportional to 182,633.40, 273,755.70 and 70,270.20

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Solution

The fourth proportional to 182,633.40, 273,755.70 and 70,270.20 is: 105,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,633.40 : 273,755.70 = 70,270.20 : x
  2. Step 2: Convert to fraction form
    182,633.40/273,755.70 = 70,270.20/x
  3. Step 3: Cross multiply
    182,633.40x = 273,755.70 × 70,270.20
  4. Step 4: Simplify right side
    182,633.40x = 19,236,867,790.14
  5. Step 5: Solve for x
    x = 19,236,867,790.14/182,633.40
  6. Step 6: Final answer
    x = 105,330.50

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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.