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Finding the Fourth Proportional to 280,234.60, 420,303.30 and 102,650.20

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Solution

The fourth proportional to 280,234.60, 420,303.30 and 102,650.20 is: 153,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,234.60 : 420,303.30 = 102,650.20 : x
  2. Step 2: Convert to fraction form
    280,234.60/420,303.30 = 102,650.20/x
  3. Step 3: Cross multiply
    280,234.60x = 420,303.30 × 102,650.20
  4. Step 4: Simplify right side
    280,234.60x = 43,144,217,805.66
  5. Step 5: Solve for x
    x = 43,144,217,805.66/280,234.60
  6. Step 6: Final answer
    x = 153,957.50

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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.