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Finding the Fourth Proportional to 280,107.10, 420,112.05 and 102,522.70

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Solution

The fourth proportional to 280,107.10, 420,112.05 and 102,522.70 is: 153,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,107.10 : 420,112.05 = 102,522.70 : x
  2. Step 2: Convert to fraction form
    280,107.10/420,112.05 = 102,522.70/x
  3. Step 3: Cross multiply
    280,107.10x = 420,112.05 × 102,522.70
  4. Step 4: Simplify right side
    280,107.10x = 43,071,021,668.54
  5. Step 5: Solve for x
    x = 43,071,021,668.54/280,107.10
  6. Step 6: Final answer
    x = 153,766.26

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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.