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Finding the Fourth Proportional to 109,934.40, 164,901.60 and 96,801.60

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Solution

The fourth proportional to 109,934.40, 164,901.60 and 96,801.60 is: 145,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,934.40 : 164,901.60 = 96,801.60 : x
  2. Step 2: Convert to fraction form
    109,934.40/164,901.60 = 96,801.60/x
  3. Step 3: Cross multiply
    109,934.40x = 164,901.60 × 96,801.60
  4. Step 4: Simplify right side
    109,934.40x = 15,962,738,722.56
  5. Step 5: Solve for x
    x = 15,962,738,722.56/109,934.40
  6. Step 6: Final answer
    x = 145,202.40

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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.