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Finding the Fourth Proportional to 154,882.56, 213,742.08 and 87,824.64

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Solution

The fourth proportional to 154,882.56, 213,742.08 and 87,824.64 is: 121,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,882.56 : 213,742.08 = 87,824.64 : x
  2. Step 2: Convert to fraction form
    154,882.56/213,742.08 = 87,824.64/x
  3. Step 3: Cross multiply
    154,882.56x = 213,742.08 × 87,824.64
  4. Step 4: Simplify right side
    154,882.56x = 18,771,821,228.85
  5. Step 5: Solve for x
    x = 18,771,821,228.85/154,882.56
  6. Step 6: Final answer
    x = 121,200.35

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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.