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Finding the Fourth Proportional to 218,450.32, 301,389.15 and 127,742.02

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Solution

The fourth proportional to 218,450.32, 301,389.15 and 127,742.02 is: 176,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,450.32 : 301,389.15 = 127,742.02 : x
  2. Step 2: Convert to fraction form
    218,450.32/301,389.15 = 127,742.02/x
  3. Step 3: Cross multiply
    218,450.32x = 301,389.15 × 127,742.02
  4. Step 4: Simplify right side
    218,450.32x = 38,500,057,639.49
  5. Step 5: Solve for x
    x = 38,500,057,639.49/218,450.32
  6. Step 6: Final answer
    x = 176,241.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.