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Finding the Fourth Proportional to 109,466.20, 163,853.70 and 106,010.20

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Solution

The fourth proportional to 109,466.20, 163,853.70 and 106,010.20 is: 158,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466.20 : 163,853.70 = 106,010.20 : x
  2. Step 2: Convert to fraction form
    109,466.20/163,853.70 = 106,010.20/x
  3. Step 3: Cross multiply
    109,466.20x = 163,853.70 × 106,010.20
  4. Step 4: Simplify right side
    109,466.20x = 17,370,163,507.74
  5. Step 5: Solve for x
    x = 17,370,163,507.74/109,466.20
  6. Step 6: Final answer
    x = 158,680.61

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1.5x scale

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.