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Finding the Fourth Proportional to 109,981.20, 164,680.20 and 86,653.20

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Solution

The fourth proportional to 109,981.20, 164,680.20 and 86,653.20 is: 129,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,981.20 : 164,680.20 = 86,653.20 : x
  2. Step 2: Convert to fraction form
    109,981.20/164,680.20 = 86,653.20/x
  3. Step 3: Cross multiply
    109,981.20x = 164,680.20 × 86,653.20
  4. Step 4: Simplify right side
    109,981.20x = 14,270,066,306.64
  5. Step 5: Solve for x
    x = 14,270,066,306.64/109,981.20
  6. Step 6: Final answer
    x = 129,750.05

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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.