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Finding the Fourth Proportional to 302,713.32, 454,082.76 and 89,481.72

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Solution

The fourth proportional to 302,713.32, 454,082.76 and 89,481.72 is: 134,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713.32 : 454,082.76 = 89,481.72 : x
  2. Step 2: Convert to fraction form
    302,713.32/454,082.76 = 89,481.72/x
  3. Step 3: Cross multiply
    302,713.32x = 454,082.76 × 89,481.72
  4. Step 4: Simplify right side
    302,713.32x = 40,632,106,387.15
  5. Step 5: Solve for x
    x = 40,632,106,387.15/302,713.32
  6. Step 6: Final answer
    x = 134,226.36

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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.