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Finding the Fourth Proportional to 280,300.70, 420,201.06 and 102,766.34

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Solution

The fourth proportional to 280,300.70, 420,201.06 and 102,766.34 is: 154,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,300.70 : 420,201.06 = 102,766.34 : x
  2. Step 2: Convert to fraction form
    280,300.70/420,201.06 = 102,766.34/x
  3. Step 3: Cross multiply
    280,300.70x = 420,201.06 × 102,766.34
  4. Step 4: Simplify right side
    280,300.70x = 43,182,525,000.32
  5. Step 5: Solve for x
    x = 43,182,525,000.32/280,300.70
  6. Step 6: Final answer
    x = 154,057.86

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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.