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Finding the Fourth Proportional to 109,833.40, 164,750.10 and 101,960.20

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Solution

The fourth proportional to 109,833.40, 164,750.10 and 101,960.20 is: 152,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,833.40 : 164,750.10 = 101,960.20 : x
  2. Step 2: Convert to fraction form
    109,833.40/164,750.10 = 101,960.20/x
  3. Step 3: Cross multiply
    109,833.40x = 164,750.10 × 101,960.20
  4. Step 4: Simplify right side
    109,833.40x = 16,797,953,146.02
  5. Step 5: Solve for x
    x = 16,797,953,146.02/109,833.40
  6. Step 6: Final answer
    x = 152,940.30

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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.