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Finding the Fourth Proportional to 102,616.40, 153,665.40 and 81,880.40

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Solution

The fourth proportional to 102,616.40, 153,665.40 and 81,880.40 is: 122,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,616.40 : 153,665.40 = 81,880.40 : x
  2. Step 2: Convert to fraction form
    102,616.40/153,665.40 = 81,880.40/x
  3. Step 3: Cross multiply
    102,616.40x = 153,665.40 × 81,880.40
  4. Step 4: Simplify right side
    102,616.40x = 12,582,184,418.16
  5. Step 5: Solve for x
    x = 12,582,184,418.16/102,616.40
  6. Step 6: Final answer
    x = 122,613.78

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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.