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Finding the Fourth Proportional to 280,010.10, 420,015.15 and 102,522.90

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Solution

The fourth proportional to 280,010.10, 420,015.15 and 102,522.90 is: 153,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,010.10 : 420,015.15 = 102,522.90 : x
  2. Step 2: Convert to fraction form
    280,010.10/420,015.15 = 102,522.90/x
  3. Step 3: Cross multiply
    280,010.10x = 420,015.15 × 102,522.90
  4. Step 4: Simplify right side
    280,010.10x = 43,061,171,221.94
  5. Step 5: Solve for x
    x = 43,061,171,221.94/280,010.10
  6. Step 6: Final answer
    x = 153,784.35

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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.