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Finding the Fourth Proportional to 215,760.65, 297,742.84 and 135,231.66

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Solution

The fourth proportional to 215,760.65, 297,742.84 and 135,231.66 is: 186,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,760.65 : 297,742.84 = 135,231.66 : x
  2. Step 2: Convert to fraction form
    215,760.65/297,742.84 = 135,231.66/x
  3. Step 3: Cross multiply
    215,760.65x = 297,742.84 × 135,231.66
  4. Step 4: Simplify right side
    215,760.65x = 40,264,258,168.24
  5. Step 5: Solve for x
    x = 40,264,258,168.24/215,760.65
  6. Step 6: Final answer
    x = 186,615.40

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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.