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Finding the Fourth Proportional to 106,206.80, 159,310.20 and 101,656.40

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Solution

The fourth proportional to 106,206.80, 159,310.20 and 101,656.40 is: 152,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206.80 : 159,310.20 = 101,656.40 : x
  2. Step 2: Convert to fraction form
    106,206.80/159,310.20 = 101,656.40/x
  3. Step 3: Cross multiply
    106,206.80x = 159,310.20 × 101,656.40
  4. Step 4: Simplify right side
    106,206.80x = 16,194,901,415.28
  5. Step 5: Solve for x
    x = 16,194,901,415.28/106,206.80
  6. Step 6: Final answer
    x = 152,484.60

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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.