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Finding the Fourth Proportional to 314,185.92, 471,207.84 and 89,541.48

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Solution

The fourth proportional to 314,185.92, 471,207.84 and 89,541.48 is: 134,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,185.92 : 471,207.84 = 89,541.48 : x
  2. Step 2: Convert to fraction form
    314,185.92/471,207.84 = 89,541.48/x
  3. Step 3: Cross multiply
    314,185.92x = 471,207.84 × 89,541.48
  4. Step 4: Simplify right side
    314,185.92x = 42,192,647,381.20
  5. Step 5: Solve for x
    x = 42,192,647,381.20/314,185.92
  6. Step 6: Final answer
    x = 134,291.97

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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.